FORM THREE - 2021
1. The fourth term of an AP is twice as great as the third term and the 12th term is 30. Find;
(a) The sum of the first 20 terms
(b) The common difference​

Answers

Answer 1

Answer:

See explanation

Explanation:

Fourth term = 2 * third term

a + 3d = 2(a + 2d)

a + 3d = 2a + 4d

a - 2a = 4d - 3d

- a = d

d = - a

12th term = 30

a + 11d = 30

Substitute d = -a

a + 11d = 30

a + 11(-a) = 30

a - 11a = 30

-10a = 30

a = 30/-10

a = -3

Recall,

- a = d

-(-3) = d

3 = d

Sum of the first 20 terms

S20 = n/2{2a + (n - 1)d}

= 20/2{2*-3 + (20-1)3}

= 10{-6 + (19)3)

= 10(-6 + 57)

= 10(51)

= 510

Sum of the first 20 terms = 510


Related Questions

WILL MARK AS BRAINLIEST. PLS HELP
Read the passage below and write an essay on the following topic
What programmes can schools organise to develop strength of character and resilience in our students?​

Answers

Answer:

Schools can create programs where students come into direct contact with workers who are essential to the functioning of the country, but who do not have the correct recognition. This program can also feature people who have had a very difficult life, but managed to overcome their difficulties with a lot of resilience and that contributed not only to their character, but also to the way they see the world.

Explanation:

The best way to stimulate the character and resilience of students is to introduce them to people who were and are capable of being resilient in any circumstance, maintaining an integrity and well-structured character, even if the circumstances of life try to provoke the opposite. In this case, schools should promote communication between these people and students, allowing them to have good access that can show that no matter what problem they are going through, being resilient and faithful to the character can make them triumphant.

Use the drop-down menus to answer the questions about John Masefield’s poem “Sea Fever.”

How many stanzas are in the poem?


What is the rhyme scheme of the first stanza?


What poetic structure does Masefield use?

Answers

Answer:

The poem has three stanzas of four lines each.

The rhyme scheme of the first stanza is AABB.

Masefield's poem uses a fixed structure.

Explanation:

John Masefield's poem "Sea Fever" is a poem about the speaker's love of the seas and the open waters. The speaker talks of his need to be in the open seas, among the creatures of the sea.

The poem has three stanzas of four lines each.

The rhyme scheme of the first stanza is AABB.

Masefield's poem uses a fixed structure. A fixed structure of poetry uses a limited structure, like the number of lines or rhyme scheme, or meter.

Answer:

1) Three

2) aabb

3) Fixed From

Explanation:

I've just got it right on ED! You welcome!

Scansion is used to determine meter and rhyme scheme.
True
False

Answers

Answer:

true

Explanation:

sana makatulong po

The answer is True. Scansion is the act of "scanning" to determine it’s meter

Do pilots migrate?

-Yes,they do (A)
-No,they don't(B)
hurry!
byee





(I can not find the answer)

Answers

Answer:

No,they don't(B)

Explanation:

Answer:

they can move for different jobs so i would say yes aka A

Explanation:

Which tense is this?

Since I joined the Survey Corps, I get one surprise after another.​

Answers

Answer:

past continuous tense because it is in the past and it is still happening

Which choice provides the best objective summary of the excerpt

Answers

Answer: Depends..

Explanation: Could you provide the excerpt in question? You may do this through screenshot, in the comments, or editing the post. Doing do will help you get the answers you need.

Hope this helps!

Critical Reading
The following question is based on your reading of Macbeth, Act III.

Act III of The Tragedy of Macbeth serves mainly to
a.
introduce the play’s climax.
c.
introduce important new characters.
b.
expose Macbeth’s mounting troubles.
d.
resolve the play’s central conflicts.


Please select the best answer from the choices provided

A
B
C
D

Answers

Answer:

B. Expose Macbeth's mounting troubles

Write a letter to your friend telling him about how you felt on your first day at school:​

Answers

Hello buddy, how are you? I'm all right. All I want to do is tell you about my first day at my new school. There were so many new students, I was nervous at first but in time I got along well with everybody and made a few friends. My teachers here, are kind and helped me understand all the syllabus I missed.

1. The museum was near the school. -> The museum was not _______ the school.
2. It costs £3 to visit the museum. -> They had to _______ £3 to visit the museum.
3. The class was taken around the museum by a guide. -> A museum guide ________ around the museum.
4. They did not leave until 4 o'clock. -> It was 4 o'clock _________ they left the museum.
5. Everybody thought that the museum visit was boring -> Everybody was _____________ by the museum visit.

Answers

1. near
2. pay
3. was taken
4. when
5. bored

The Apollo 13 crew was worried about using the CM after it had been shut down because condensation during start up might cause an electrical fire.
True Or false

Answers

Answer:

False

Explanation:

The answer is False about The Apollo 13 crew being worried about the CM after has been shut down

Arun was the first to cross the finish line. The given sentence is

Simple

Complex

Both​

Answers

Simple.
“to cross the finish line” is a preposition, so it doesn’t count.
You’re left with: Arun was the first. One independent clause, so it’s a simple sentence.

During which period were the colonies first established?
a. Puritanism
b. Modernism
c. Contemporary
d. Native American

Answers

Answer:

they were from Great Britian so it would be a.Puritism if im not mistaken.

i think the answer is B modernism

3. True or False: The deportees got mushroom soup & a

bath before boarding the boat.

I

a. True

b. False

Answers

False that’s the answer
True is the answer I’m pretty sure

Write three possible topics here from your brainstorming. Do some research on each to determine source availability.

(any topics)

Answers

Answer:

So the question does not contain the focus of the brainstorming. So in this response, I'd take the liberty to assume a business problem as the focus of the brainstorming session then proceed to answer.

The elected business problem is:

How to increase sales.

The topics arrived at on how to do that are:

Reducing Customer AttritionImproving Customer Care processesMeasuring Customer Satisfaction

Explanation:

For each of the topics, it's been established that there are several sources for research material.

Topic 1 (Reducing Customer Attrition):

Source 1:

Page Title: Five Simple Techniques For Reducing Customer Attrition Rates

Author: Vik Patel

URL: https://www.forbes.com/sites/theyec/2016/05/17/five-simple-techniques-for-reducing-customer-attrition-rates/?sh=1a5a62e085f9

Source 2:

Page Title: Reducing Customer Attrition with Machine Learning  for Financial Institutions

Author: Nate Derby

URL: https://www.sas.com/content/dam/SAS/support/en/sas-global-forum-proceedings/2018/1769-2018.pdf

Topic 2 ( Improving Customer Care Processes)

Source 1:

Page Title: Improving Customer Support Processes: A Case Study

Author: Marko JänttiNiko Pylkkänen

URL: https://link.springer.com/chapter/10.1007/978-3-540-69566-0_26

Source 2:

Page Title: Improving Customer Support Processes: A Case Study

Author: Genesis Rivas

URL: https://link.springer.com/chapter/10.1007/978-3-540-69566-0_26

Cheers

1)Which of these sentences is punctuated correctly? A) The winners: Ahmed, Hassan, and Mazen are given awards. B) The winners: Ahmed, Hassan, and Mazen, are given awards.

2)Which of these sentences is punctuated correctly? A) "You cannot touch that," her father said, "It's too dangerous." B) "You cannot touch that," her father said, "it's too dangerous."

Answers

I believe number 1 is A and

number 2 is B

it is difficult the arrogant to get​

Answers

Yes it is!!!!!!!!!!!!!!
Yes it is!!!!!!!!!!!!!!!

recommendations and conclusions on the issue of human rights violations to peers​

Answers

Answer:

The development of robust institutions is the most important proposal I can make in terms of human rights breaches on governments and communities. Independent Courts and Commissions dealing with specific topics such as corruption and gender issues are required. The environment should allow for a free press to operate without political intervention or impediment. Citizens should have the right to freedom of expression and association. Citizens must also be well-informed and engaged on all major topics.

   To put it another way, an activist citizenry should be nurtured and supported. Transparency, open participation, peace, stability, and inclusive development are the main characteristics that drive a democratic discourse, and these approaches have a net effect of promoting them.

Explanation:

Read the sentence.

Rome has been called the Eternal City for centuries because ancient citizens felt it was a utopian place with a monopoly of knowledge that would last forever.

Which words should be changed to make the sentence more appropriate for a general audience?

Answers

Answer:

Rome has been called the Eternal City for a long time because ancient citizens felt it was a great place with a whole book and knowledge that would last forever.

Explanation:

Which rhetorical device is used in this text? From A Room of One's Own

Answers

Answer:

The rhetorical device which is used in the given excerpt is irony.

The rhetorical device used in the provided text is irony and the correct option is option is option A.

Irony is employed when the author expresses that the history of men's opposition to women's emancipation is more captivating than the actual progress of women's liberation.

The statement is ironic because it suggests that the oppressive actions and attitudes of men towards women can be seen as entertaining material for a book.

The author further emphasizes the ironic tone by humorously suggesting that the person collecting examples would require thick gloves and solid gold bars for protection, implying that the task would be challenging and potentially dangerous. This use of irony adds depth and a critical perspective to the author's exploration of women's emancipation.

Thus, the ideal selection is option A.

Learn more about Rhetorical device, here:

https://brainly.com/question/28957172

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The complete question is -

Read the passage given below -

The history of men's opposition to women's emancipation is more interesting perhaps than the story of that emancipation itself. An amusing book might be made of it if some young student at Girton or Newnham would collect examples and deduce a theory,—but she would need thick gloves on her hands, and bars to protect her of solid gold.

Which rhetorical device is used in this text?

irony alliteration

alliteration

overstatement

understatement

Read the excerpt from " A Ghost Story" in Sketches New and Old by Mark Twain: Question 1) Which quotation from the passage best develops the central idea that some ghosts are friendly? " A) " The whispering ceased, and the voices and the sounds, and a solemn stillness followed. " , B) "Never a lone outcast was so glad to welcome company as I was to greet the friendly giant.", C) "I heard the clanking of chains faintly, in remote passages, and listened while the clanking grew nearer." , D) " Stripped of its filmy housings, need, muscular and comely, the majestic Cardiff Giant loomed above me! ( Will Mark Brainliest ONLY ANSWER THE QUESTION IF YOU KNOW THE ANSWER PLEASE. IN SUMMER SCHOOL AND NEED TO PASS. ​

Answers

Answer:

B

Explanation:

because it talks about the friendless

Answer:

B

Explanation:

it talks a lot about the friendless.

Somebody is knocking on the door .It ...be Sabina she promised to come

option a) may b) must c) can't​

Answers

Answer:

must

Explanation:

She must come because she promised she would come.

Answer:

It's either it may be Sabrina, she promised to come or It must be Sabrina, she promised to come. The question was unclear to me

Question 7 of 10 Which transition word best connects the ideas within the following paragraph? Some people who disagree with the idea of climate change may refer it as a "non-science." these people may not realize that this claim is based on non-science. A. Now B. Then O C. However D. Therefore ​

Answers

Answer:

however is the right answer

Explanation: pls mark as braniliest

) How can I _______ to the National Theater? A. arrive B. travel C. get​

Answers

The answer would be c

What mood is created by the oxymoron and paradox in this excerpt?

excitement
chaos
hopefulness
seriousness

Answers

Please give the Except, as you didn't already. Thanks

Reading
Read the words and their definitions in the
box
and discuss the questions below.
2 What do you think of the idea of 'retail therapy'?
Does it work?

Answers

Answer and Explanation:

I believe that retail therapy is not effective in treating real psychological problems such as depression, anxiety, among others. However, I believe that the use of this type of "therapy" can be promising to change the feelings and states of mind of a person who is not necessarily having a mental problem, but is just sad or discouraged about something. However, it is important not to make an addiction of this, but to use retail therapy sporadically, just so that an individual can please himself or herself.

It is important to remember that retail therapy is a person's attitude to shopping to improve his or her mood.

the government is spending very little money on the maintanance of road change to passive voice​

Answers

Answer:

A little miney is spending on maintenance of road by government

suggest four recommendation of government that may and control laws in Community services​

Answers

Answer:

Explanation:

Communities operate in the context of federal and state policies that can affect local government decisions relevant to health through laws and regulations, through the allocation of resources, and by shaping political will on issues and approaches. Among the more widely recognized policies are those that fund or regulate health care delivery services. But policies in a variety of areas, ranging from education to land use and housing, the environment, and criminal justice, can be relevant to health disparities. Policies can vary significantly across geographic areas and over time in establishing priorities, providing funding, or encouraging collaboration. They can provide important opportunities or constitute barriers to promoting health equity. The policy context shapes the levers that are available to communities to address change.

It seems reasonable to assume that the better informed communities are about the implications of federal and state policy and policy changes, the greater their ability will be to respond effectively to address health disparities and help achieve change in the determinants of health. And, conversely, the more the needs of communities are considered in decision making at the federal and state levels, the more effective those policies will be. In other words, policy makers have the opportunity to lay the groundwork for community success. This policy context (i.e., socioeconomic and political drivers) is highlighted in the report’s conceptual model in Figure 6-1.

3. What is the strong consensus definition for investigative journalism?

Answers

Answer:

The world largest non-profit investigative journalism association, defined investigative journalism as “systematic, in-depth, and original research and reporting,

Explanation:

Hoped this helped :3

Read the following excerpt from "The Significance of the Frontier in American
History":
Behind institutions, behind constitutional forms and
modifications, lie the vital forces that call these organs into
life and shape them to meet changing conditions.
What literary device is Turner using here?
A. Anaphora
B. Alliteration
C. Metaphor
D. Simile

Answers

The literary device is Turner using here is the Anaphora. The text was the based on the significantly of the American history. Thus, option (a) is correct.

What is a literary device?

The term literary device refers to the poetic device. The literary device is the different types are the symbolism, repetition, rhyme, enjambment, consonance, meter, alliteration, imagery, and the assonance etc. The personification and the metaphor.

According to the text, it was based on American history. Turner is employing the literary device of 'anaphora.' This is because anaphora refers to the repeated of a term or phrase at the opening of consecutive sentences, and in the preceding example, the word 'behind' starts the phrase and is also returned, providing a perfect illustration of anaphora in a sentence.

As a result, the Anaphora, literary device is Turner. Therefore, option (a) is correct.

Learn more about on literary device, here:

https://brainly.com/question/14917014

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Which two pairs of words represent the use of alliteration in the poem?
For A Lady I Know
by Countee Cullen

She even thinks that up in heaven
Her class lies late and snores

While poor black cherubs rise at seven
To do celestial chores.
Reset

Answers

Answer:

lies late

celestial chores

Explanation:

Alliteration refers to literary device in which the repetition of the similar sound words are placed in the same sentence. The similar consonant sound words are written in the sentence.  

The words 'lies' and 'late' and 'celestial' and 'chores' are the example of alliteration used in the poem. The sound 'l' has been repeated in 'lies' and 'late'. The sound 'c' has been repeated in 'celestial' and 'chores'.

Other Questions
Examine the table of definitions, then answer the question.Based on the table, what is the definition of the prefix syn-?ordergrouptogethercondition 18. The biscuits are delicious. You(1 Point)try oneshouldOshouldn'thave toO had better Please select the word from the list that best fits the definitionOccurs when an axon releases chemicals that allow a signal to jump across synapses between neurons Match the names of the microscope parts in column A with the descriptions in column B. Place the letter of your choice in the space provided.Column A Column Ba. Adjustment knob (coarse) _______ 1. Increases or decreases the light intensityb. Arm _______ 2. Platform that supports a microscope slidec. Condenser _______ 3. Concentrates light onto the specimend. Eyepiece (ocular) _______ 4. Causes stage (or objective lens) to move upward or downwarde. Field of view _______ 5. After light passes through the specimen, it next enters this lens systemf. Iris diaphragm _______ 6. Holds a microscope slide in positiong. Nosepiece _______ 7. Contains a lens at the top of the body tubeh. Objective lens system _______ 8. Serves as a handle for carrying the microscopei. Stage _______ 9. Part to which the objective lenses are attachedj. Stage (slide) clip _______ 10. Circular area seen through the eyepiece Sau khi thc hin kim ton, KTV xc nh l:1- BCTC theo mc ch chung ca cng ty c trnh by hp l2- B phn thu qu ca cng ty khng hu hiu3- Thu TNDN ca cty tnh ton khng ph hp vi lut thu4- Quc hi mun kim tra chi tiu ca B Quc phng v B Ngoi giao5- BCTC ca mt trung tm y khoa t nhn c lp ph hp vi cc chun mck ton.6- Qun c phn xng khng thc hin ng trch nhim ca mnh nh phncng.7- Chi cc thu vi phm vic thu mn nhn vin do nh nc qui nh8- BCTC ca mt DN nh nc cn kim ton c phn ha9- BCTC ca mt UBND tnh trnh by ng vi thc t thu v chi tin10- Dch v thc hin qua bu in cho mt huyn ngoi thnh l khng hiu qu11- Cng ty thc hin ng cc iu khon hp ng vay ngn hng12- Mt b phn khng thc hin ng cc chnh sch v lm thm gi do cng ty ra.Yu cu:a. Hy ch ra loi kim ton no tin hnh trong cc loi kim ton sau: (1)BCTC; (2) Tun th; (3) Hot ngb. Xc nh loi KTV thc hin: (1) c lp; (2) ni b; (3) nh nc.c. Xc nh i tng chnh nhn bo co kim ton: (1) i tc; (2) nh qun l;(3) nh nc... 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Find mZSGH if mZFGH = 108 A purse regularly priced at $70 is on sale for 20% off. What is the scale price of the purse? Why did Spain create missions in the colonies?to create forced labor using American Indiansto adapt to American Indian traditionsto assimilate American Indiansto return land to American Indians A defendant is on trial for violating a statute forbidding possession of a concealed weapon within 100 yards of a government building. The prosecution presents evidence that the defendant was arrested on a street corner with a handgun in his pocket. The building housing the local city hall occupies the entire block on the north and east sides of the two streets where the defendant was apprehended.Which of the following statements is most accurate regarding judicial notice of the location of the city hall?A The judge may take judicial notice of this fact without resort to a map, and should instruct the jury that it may, but need not, accept this fact as evidence of an element of the offense.B The judge may take judicial notice of this fact only upon reference to an official street map of the city.C The judge may not take judicial notice of this type of fact in a criminal case without a request by the prosecution.D If the judge properly takes judicial notice of this fact, a presumption is created that shifts the burden of persuasion to the defendant to disprove this fact. 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What animals reproduce through the sexual method? Plss answer fastSubject is science it's not in the options so I put health please answer fast