The sum of the first nine terms in a sequence is 49,205. Each term is 3 times the previous term. What is the third term?

Answers

Answer 1

Answer:

       a₃ = 32 805

Step-by-step explanation:

Each term is 3 times the previous term:  

                                                                r = 3

The sum of the first nine terms in a sequence is 49,205:

                                                      [tex]S_n=a_1\cdot\dfrac{1-q^n}{1-q}\\\\\\49205=a_1\cdot\dfrac{1-3^9}{1-3}\\\\49205=a_1\cdot\dfrac{1-19683}{-2}\\\\49205=a_1\cdot9841\\\\a_1=5[/tex]

What is the third term?

                                     [tex]a_n=a_1\cdot q^{n-1}\\\\a_3=5\cdot3^8=32805[/tex]


Related Questions

What is (5, 10) reflected over the x-axis

Answers

Answer:

(5,-10)

Step-by-step explanation:

(5,-10) is reflected over the x-axis from (5,10)

GIVING BRAINLIEST!!!!!!

In which step does a mistake first occur? (24+3+10)-14+2
Step1: (8+10)-14+2
Step 2: 18-14+2
Step3: 4+2
Step 4: 2

Answers

A mistake first occurs in step 1. (24+3+10) is not equal to (8+10). It is equal to (27+10).

plz help me 2 plz 2 plz 2

Answers

Step-by-step explanation:

P(-4,7)

Q(-1,-1)

R(-8,-1)

i need help btw i am in middle school

Answers

Answer:$32.86

Step-by-step explanation:

multiply the percent (6%) by 31$ which will get you 1.86. that's the tax amount. so then you add that to $31 and get $32.86

Answer:

C. 32.86

Step-by-step explanation:

The equation to calculate how much the tax is

31 x 0.06

This equals 1.86

Now add the original price and the tax amount together.

31 + 1.86 = 32.86

Therefore, the answer is 32.86

Find the total surface area of the prism below​

Answers

Do not click that link

If the diameter of a penny is 19.05 mm on each penny is 1.52 mm thick, what is the approximate volume of the roll of the roll of pennies? Use 3.14 for pie and round your answer to the nearest tenth.

Answers

Answer:433.0mm3

Step-by-step explana

What is a Proportional Relationship?
1. One apple costs 25¢. Determine each cost.
a) 2 apples
b) 3 apples
c) 4 apples
d) 6 apples
e) 9 apples
f) 12 apples

Answers

A two apples or $.25 each

can you help me i will mark if i can

Answers

Answer:

i think it is d

Step-by-step explanation:

Can someone help me with this PLZ

Answers

Answer:

6 and 8

Step-by-step explanation:

Answer:

6 and 8

Step-by-step explanation:

Q1: 6 and 8

Q2: 8 and 12

Q3: 12 and 15

Q4: 15 and 20

Brainlist Pls!

A person swims 11 miles downstream in the same time they can swim 7 miles up stream. The speed of the current is 4 miles per hour.
These situations can be represented by the equations
Downstream: t=11/s+4 Upstream:t=7/s-4,
where t stands for time and s is the speed of the swimmer. What is the speed of the swimmer swimming in still water?

Answers

Answer:

s = 18 mph

Step-by-step explanation:

At downstream, time is; t = 11/(s+ 4)

At upstream, time is; t = 7/(s - 4)

Since they both are passed in the same time, then ;

11/(s+ 4) = 7/(s - 4)

Cross Multiply to get;

11(s - 4) = 7(s + 4)

11s - 44 = 7s + 28

11s - 7s = 44 + 28

4s = 72

s = 72/4

s = 18

I need help please i don’t understand

Answers

9514 1404 393

Answer:

  no

Step-by-step explanation:

The dimensions will be those of a rectangular mirror if the diagonal measure is the hypotenuse of the right triangle with the given side lengths.

The Pythagorean theorem would require for some width w ...

  w^2 +24^2 = 30^2

  w^2 = 900 -576 = 324

  w = √324 = 18

A rectangular mirror with a length of 24 inches and a diagonal of 30 inches will have a width of 18 inches, not 16.

__

The attachment shows that a width of 16 inches is not consistent with a right-angle corner.

_____

Additional comment

If you reduce the given numbers to lowest terms by dividing them by 2, they become 8, 12, 15. That is, the two shortest sides are even and the longest is odd. Any set of integer dimensions for a right triangle must have an even number of odd numbers (0 or 2). These numbers cannot be a Pythagorean triple, so cannot make a right triangle.

Plzzz can someone help me out???

Answers

I think its the third one, the equation one,

PLEASE SHOW WORK SO I UNDERSTAND THANKS :)
-0.3 * -(11)/(30)

Answers

Answer:

0.11

Step-by-step explanation:

The answer would be 0.11, i just used a calculator lol

Last year, Maria planted a tree that is 5 11/12 feet tall. This year, the tree is 7 2/3 feet tall. How many feet did the tree grow?

Answers

Answer

Step-by-step explanation:

1 3/4

Megan has $25 to spend at the movies. If her ticket cost $8.75 and she already
purchased a drink for $3.50, how much does she have left to spend on snacks?

Answers

If you add the price of the ticket and drink it comes out to 12.25, subtract from 25 and the answer is 12.75

Answer:

$12.75

Step-by-step explanation:

8.75 + 3.50 = 12.25

25 - 12.25= 12.75

What is the perimeter of the triangle?

Answers

The perimeter of the triangle is 34.2 units

How to determine the value

To determine the value of the perimeter, we need to know the following;

A triangle has three sidesA triangle has three anglesThe sum total of the interior angles of a triangle is 180 degreesA triangle is a 3 - sided polygon

The formula that is used for calculating the perimeter of a triangle is expressed as;

P = a + b+ c

Such that a , b and c are the lengths of the sides of the triangle

Then, we have that;

Using the Pythagorean theorem

a² =  81 + 121

a² = 202

a = √202 = 14.2 units

Perimeter = 9  + 11 + 14.2

Add the values

Perimeter = 34.2 units

Learn more about triangles at: https://brainly.com/question/14285697

#SPJ1

PLEASE HELP ASAP ILL GIVE BRAINLIEST


Jean makes $ 10 per hour as a sales associate at Macy's serenity earns $5 per hour plus tips at TGI Friday'srestaurant. One evening, Serenity earned $40 in tips while working between 6 pm and10 pm. Meanwhile Jean was working at Macy's at that time. Explain who earned more by presenting equations

Answers

Answer: Serenity made more money.

Step-by-step explanation: She got 40$ in tips- AND she gets 5$ per hour. Four hours went by, (6-10pm) so she gets an additional 20$ dollars, making her the one with more money because Jean made 40$.

im not sure if its too small or not

Answers

Answer:

area of ring shape =

[tex](\pi \times 6 \times 6) - (\pi \times 4 \times 4)[/tex]

=

[tex]36\pi - 16\pi[/tex]

=

[tex]20\pi[/tex] square inches

The equation of the line shown in the graph is y = ?.

Answers

Answer:

y=5x-5

Step-by-step explanation:

we start from -5 and go rise/run so its 5

Help! Quickly!

I beg thy to help.

Answers

Answer:

I think that B is the correct answer , 353.3 ft2 .

Good luck ^^

Answer: B
Answer Explanation: process of elimination

When given the picture using what you know find the answer. What is m

Answers

Answer:

40 degrees

Step-by-step explanation:

Answer:

Angle E = 25 deg because of reflective

Angle C = 115 degree because 180 - 65

Since triangle = 180 deg

Angle D = 180 - 115  - 25

= 40 deg

Step-by-step explanation:

A cell phone tower is anchored by two cables on each side for support. The cables stretch from the top of the tower to the ground, with each being equidistant from the base of the tower. The angle of depression from the top of the tower to the point in which the cable reaches the ground is 23 degrees. If the tower is 140 feet tall, find the ground distance between the cables. Round to the nearest tenth.

Answers

Answer:

659.6 ft

Step-by-step explanation:

x = 140 / tan 23  

x = 329.82(rounded to hundredth)

so total ground distance between the cables = 2x = 2(329.82) = 659.64 feet

Pls help asap giving brainliest waited for 5 hours oof

Answers

Answer:3rd answer down (top to bottom)

Step-by-step explanation: c=dπ so

c=96π

c=96*3.14=301.4

so 3rd one down is the answer!

Hope this helps!

Answer:

c

Step-by-step explanation:

because its true

Given that 1 inch =2.54 how many centimeters are in 8 feet

Answers

Answer:

243.84 cm

Step-by-step explanation:

8 feet = 96 inches

96 inches x 2.54 in/cm = 243.84 cm

Tell whether the angles are adjacent or vertical. Then find the value of x.

Answers

Answer:

[tex]x = 25[/tex]

Step-by-step explanation:

The angles are vertical since they form from two lines crossing at a point and they share a same vertex.

Vertical angles are equal so

[tex]4x - 25 = 75[/tex]

[tex]4x = 100[/tex]

[tex]x = 25[/tex]

At 7am there was 4 inches of snow on the ground. After that, the snow fell at a rate of 1.5 inches per hour. Equation:

Answers

Answer:

y(t) = 4 + 1.5t

.

Step-by-step explanation:

Initial amount of snow = 4 inches

Fall rate of snow = 1.5 inch per hour

Equation to model the scenario goes thus :

Initial amount of snow + (fall rate of snow * number of hours)

Let the number of hours = h

4 inches + (1.5 inch per hour * h)

Equation, y(t) becomes ;

y(t) = 4 + 1.5t

attach a link if needed<3

Answers

Juice: Different

Burritos: Same

Soup: Same

Peanut Butter: Different

How many centimeters are equal to 9 meters?

Answers

i think Is 9p centímetros

What's the x plz help

Answers

Answer:

The answer for x is ten

An 18-ounce bottle of juice costs $4.86. What is the unit rate for the juice

Answers

Answer:

3.7

Step-by-step explanation:

Answer:

The Unit Rate would be 0.27:1

Step-by-step explanation:

Divide 4.86 by 18 to get 0.27

Hope this helps! Pls make brainliest

Other Questions
In order to determine an interval for the mean of a population with unknown standard deviation a sample of 61 items is selected. The mean of the sample is determined to be 23. The number of degrees of freedom for reading the t value isa. 22b. 23c. 60d. 61 Don't understand. Help please? Help! What does the bracket mean and how do I do the questions? The idea of control by the people iscalledA right of secession.B posular sovereignty.C compromise.D sectionalism. 2. A wooded area is in the shape of a a trapezoid whose bases measure 128 m and $2 m and its height is 40 m. A 4 m wide walkway is constructed which runs perpendicular from the two bases. Calculate the area of the wooded area after the addition of the watkway A ladder that is 18 ft. long is leaningagainst the side of a building. If the angleformed between the ladder and the groundis 30, how far is the bottom of the ladderfrom the base of the building? Which is the BEST statement of what the speaker wants?A) to become a political leaderB)to no longer have to plant cropsC) to be treated fairly and equallyD) to move to a country that respects women Elena notices that when she spends less time on social media the night before a quiz, she gets a higher score. Before one quiz, she spent 107 minutes on social media and eamed 37 points on aquiz. Before another quiz, she spent 73 minutes on social media and eamed 11 points on a quizwrite a function to model a linear relationship between Elena's social media usage, in minutes, and her quiz scores, assuming that the total number of points on each quiz remains a constantRespond in the space provided I dont really understand this question if anyone would help me out ! PLEASE HELP FOR BRAINLIEST! The sum of two numbers is 4 and the difference of their squares is 64. Find the two numbers. After analyzing a problem, what is the next step in the problem-solving process?Develop creative solutions.Identify possible solutions.Implement a solution.Select a solution.it's not identify possible solutions what grow downward into the soil to form rootsplease answer fast please help i am giving brainliestMatch the words or expressions that mean the same.a. la puerta de embarque b. es necesario c. de vez en cuando d. una demorae. abordar f. una fila1. a veces 2. un retraso 3. embarcar 4. una cola 5. hay que 6. la puerta de salida No links It cost Erica $9.75 for the ingredients to make 30 cupcakes. She sold them for $1.00 each. What was Ericas total profit?Can i please get some help, I NEED A STEP BY STEP TO FULLY UNDERSTAND THE QUESTION AND YOUR ANSWER Question 4 of 20:Select the best answer for the question4. Which of the following is an example of a systemic anatomical study?A. Studying the organs within close proximity to each other in the abdomenB. Studying the digestive system from the time food is ingested until it's excretedC. Studying how a person responds to antidepressant medicationsD. Studying the anatomy of the right hand versus thepleft hand in a right-handed person can someone help me Im stuck on this and cant figure it out The stock of Canadian Ski Wear is currently trading at $45 a share and the equity beta of the company is estimated to be 1.3. The company is expected to pay a dividend of $1.50 a share next year, and this dividend is expected to grow at a rate of 4% per year. The rate on the 10-year U.S. Treasury bond is 4% and you estimate the market risk premium to be 5%. Using the dividend growth model, what is the companys cost of equity? Mike and Marianne pulled their resources together to open a coffee place. They each put $20,000 and also took a bank loan of $20,000. Interest rate the bank charges is 8% and estimated tax rate is 30% for their business. If they both want a 12% return on their investment, what is the weighted average cost of capital How did the South reverse much of the Civil Rights Act of 1866? By electing African Americans By electing a Southern president By passing Black Codes By passing blue lawsWho ever gets it write gets brainliest and if you get them wrong i report i get all answers right so don't play me because i've got 16 people kicked off brainly and they had like a bunch of points and they all went to me Why do you think Shelley frames this poem with I met a traveler from an antique lane who said..?