Answers
Answer: [tex]a_{n}=4n+-3[/tex]
Step-by-step explanation:
The way arithmetic sequences are usually written is:
[tex]a_{n} =a_{1} +(n-1)d[/tex]
[tex]a_{n}[/tex] is the the term you are looking for. It has an n because we aren't looking for a specific one.
[tex]a_{1}[/tex] is the first term of the sequence. In this case that is 1.
n is the term position. Meaning if you wanted to find the fifth term you'd sub 5 in for n.
d is the common difference. In this case it is 4.
Now we can sub these values in.
[tex]a_{n} =1 +(n-1)4[/tex]
We can simplify the right part of the equation.
[tex]a_{n} =1 +(n-1)4\\a_{n} =1 +(4)(n)-(4)(1)\\a_{n}=1+4n-4\\a_{n}=4n+1-4\\a_{n}=4n+-3[/tex]
Related Questions
PLEASE HELP MEEEEEEEEEEEEE
Answers
Answer: 20 ft
Step-by-step explanation:
The mirror is set away from the flagpole on the same scale set away from her.
The distance she stand's away from the mirror is 1/4 of the length of the distance between the mirror and the flag pole because she's 1/4 of the flagpole's size.
This means her size x4 is the size for the flag pole. This checks out because 12x4=48
So to find the height we must do 5x4
5x4=20
What are the vertices of the resulting image A'B'C'D'E' after rotating the figure 90° about the origin?
Answers
Answer:
45
Step-by-step explanation: If you turn 90 counter clockwise ( aka divided by half ), the result would be 45.
9
How many possible outcomes are in spinning a spinner divided into red, yellow, orange, purple, blue, and pink?
SOMEONE ANSWER PLS
Answers
Answer:
Possible outcomes = 6
Step-by-step explanation:
Since the spinner is divided into red, yellow, orange, purple, blue and pink
Total of 6 colors.
help pls no brainlist if not
Answers
Need quick help with this math
Answers
Answer:
Eleanor and Harold
Step-by-step explanation:
The decimal [tex]0.13\overline{7}[/tex] consists of the sum of two terminating decimals and one non-terminating decimal:
[tex]0.13\overline{7}=0.1+0.03+0.00\overline{7}[/tex]
Therefore, we have:
[tex]0.13\overline{7}=\frac{1}{10}+\frac{3}{100}+\frac{7}{900},\\\\0.13\overline{7}=\frac{10}{100}+\frac{3}{100}+\frac{7}{900},\\\\0.13\overline{7}=\frac{13}{100}+\frac{7}{900}=\frac{117}{900}+\frac{7}{900}=\boxed{\frac{124}{900}}[/tex]
Hector's answer is equivalent but not simplified. However, they are both technically correct.
wahat is 3556+55432
plaease fast
Answers
Answer:
58988
Step-by-step explanation:
3556+55432
=58988
Rita is spending more time at home to study and practice math. Her efforts are finally paying off. On her first assessment she scored 58 points, then she scores 63 and 68 on her next two assessments. If her scores continued to increase at the same rate, on which assessments will she be scoring above 85? Select all that apply.
Answers
Answer:
7th
Step-by-step explanation:
63 - 58 = 5
68-63 = 5
She is adding 5 points each time
a1 = 58
d = 5
a2 = 63
a3 = 68
a4 = 58+5 = 73
a5 = 73+5 = 78
a6 = 78+5 = 83
a7 = 83+5 = 88
This is the first assessment greater then 85, so the 7th assessment
wats the answer of 1 2/5 ÷14/15
Answers
Answer:
2/5 ÷-14/15
2/5×-15/14
-3/7 is ur answer
Answer:
3/2 = 1 1/2 or 1.5
Step-by-step explanation:
1 2/5 ÷ 14/15
= 7/5 ÷ 14/15
= 7/5 × 15/14
= 3/2 = 1 1/2 or 1.5
What is the slope of the line that passes through the points (-3,5) and (6,-1)?
Answers
Answer:
C.
[tex]slope = \frac{( - 1 - 5)}{6 - ( - 3)} \\ = \frac{ - 6}{9} \\ = - \frac{2}{ 3} [/tex]
Minke earned $100 working for h hours in a resuarant. He earns $10 an hour, and recieved $30 in tips. Write an equation using this information.
Answers
Answer:
10h + 30 = 100
Step-by-step explanation:
10h + 30 = 100
Answer:
140$
Step-by-step explanation:
So Mike earned 100$ right. So he earns 10$. And got 30$ by Tips The answer is 140$ I hope it helps :)
.Find x in the following figure. plss helpp need ans asap!
Answers
Answer:
80
Step-by-step explanation:
This is a pentagon (5 sides), n=5
The sum of internal angles equals (n-2)*180 = 540°
We have
A = 90
B = 180-40
C = 180-x
D = 180-60
E = 180-90
Sum all the angles to equal 540°
90 + 180-40 + 180-x + 180-60 + 180-90 = 540
620-x = 540
solve for x
x = 620 - 540 = 80
Answer:
80
Step-by-step explanation:
the answer should be 80 just as mathmate explained
Bye !
When 2(3/5x+2 3/4 is simplified what is the resulting expression
Answers
Answer:
A. 1 7/10x+2 1/2y+6
B. 7/10x+2 1/2y+6
C. 7/10x+8 1/2y+6
D. 1 7/10x+4 1/4y+3
Find the average of 40.6, 10, 0.7, and 120.02
Answers
Answer:
42.83
Step-by-step explanation:
add all the numbers and divide by how many their are
What are the coefficients in the problem 7a + 5b =c
a and b
5 and c
a,b,and c
7 and 5
Answers
Answer:
7 and 5
Step-by-step explanation:
they have variables with them
Answer:
D
Step-by-step explanation:
Work out the surface area of this cylinder.
Height=25
Diameter=12
Answers
17/18 dived by 2/4 as a reduced fraction
Answers
Answer:
1 8/9
Step-by-step explanation:
Hope you enjoy :)
Which is an equation of the line with
slope that contains the point (6, 4)?
Answers
Answer:
y=x-2
Step-by-step explanation:
x=6 and y=4, so simplest equation is y=x-2
You can have infinity lines with the point (6,4). Another example is [tex]y=\frac{1}{2} x+1[/tex]
what expressions are equivalent to 3-b
Answers
Answer:
hkxkjfxjflxjlnfzjjgzligxlkxljyyflkxklxyklclllyfylldkfol
The length of the ladder that will run from the ground to the door of the tree house is nine feet. The plan recommends that the rungs of the ladder be spaced at 8-inch intervals. The first and last rung should be 6 inches from the respective ends. How many rungs will the tree house ladder have?
Answers
Answer:
13 Rungs
Step-by-step explanation:
According to the Question,
Given, The length of the ladder that will run from the ground to the door of the treehouse is 9 feet ( 9 × 12 = 108 inches).The plan recommends that the rungs of the ladder be spaced at 8-inch intervals.
And, The first and last rung should be 6 inches from the respective ends.Thus, the rungs Cover on 108 -(6+6) = 96 inches with 8-inch gaping between each rung.
Therefore, the Total Rungs on the treehouse ladders have (96/8)+1 ⇒ 13 Ladders.Help. Direct answers pls
Answers
Answer:
a₄ = 256
Step-by-step explanation:
Using the given definition , then
a₂ = a₁² = 2² = 4
a₃ = a₂² = 4² = 16
a₄ = a₃² = 16² = 256
Answer:
256
Step-by-step explanation:
a₁ = 2
a₂ = (a₁)² = 2 ² = 4
a₃ = (a₂)² = 4² = 16
a₄ = (a₃)² = 16² = 256
The maximum number of students in a classroom
is 26. If there are 16 students signed up for the
art class, how many more students can join the
class without exceeding the maximum?
Answers
Answer:
10 students
Step-by-step explanation:
The maximum number is 26 and 16 have already signed up so in order to know how many can join without exceeding the maximum. You subtract 16 from 26. which then leaves you with 10
find the value of unknown angles
Answers
Step-by-step explanation:
x=y=75°
y+30=z
105=z
!!!!!!!!!!
Answer:
x = 75 degree , y = 75 degree , z = 105 degree
Step-by-step explanation:
x = 75 degree (being corresponding angles)
x=y (being corresponding angles)
75 = y
substituting the value
y + 30
75 + 30
105 degree
z = y + 30 (being corresponding angles)
z = 105 degree
Help me down below
PLEASE
Answers
Answer:
there is one more zero
Step-by-step explanation:
now it's 8 million rather than 800 thousand.
Given that sin(Θ)=1/2 and Θ is in quadrant II, which of the following would be the value of cos(Θ)?
a. 1/2
b. -1/√3
c. √3/2
d. -√3/2
e. 2
Answers
i think it should be e but not shure
please answer thissssss
Answers
Answer:
A? oof not sure
Step-by-step explanation:
I dont know
Convert each measurement to a more appropriate unit. State why you think this is a better
unit to use.
a) Mount Logan, in southwestern Yukon, is 595 900 cm tall.
b) The diameter of an apple is 0.064 m.
c) The largest brown bear, the Kodiak, is 2440 mm in length.
Answers
Step-by-step explanation:
a) Mount Logan, in southwestern Yukon, is 5959 m tall.
b) The diameter of an apple is 6.4 cm.
c) The largest brown bear, the Kodiak, is 2.44m in length.
The reason is that we need to use appropriate estimation method and approximation to present a meaningful figures in our life. Take the size of the apple as an example, we won't care it is one mm bigger or smaller.
Suppose you roll a cube 30 times, what is a to describe the theoretical of rolling a 1, 4, 6, 7 Please help me!
Answers
Answer:
[tex]Pr(x) = \frac{1}{6}[/tex]
Step-by-step explanation:
Given
[tex]n = 30[/tex] --- number of rolls
Required
The theoretical probability of rolling: (a) 1 (b) 4 (c) 6 (d) 7
Assume the cube is 6 sided.
The sample space is:
[tex]S = \{1,2,3,4,5,6\}[/tex]
And the probability of each is:
[tex]Pr(x) = \frac{1}{6}[/tex]
Irrespective of the number of rolls, the theoretical probability of (a). (b), (c) and (d) is:
[tex]Pr(x) = \frac{1}{6}[/tex]
Please help 50 points!
Simplify the expressed
Answers
Answer:
Step-by-step explanation:
[tex]\frac{x^{2} -x-12}{x+4} * \frac{2x^{2}-32 }{x^{2} -8x+16}[/tex] rewrite as multiplication
[tex]\frac{x^{2} +3x-4x-12}{x+4} * \frac{2(x^{2}-16) }{x^{2} -8x+16}[/tex] look to factor
[tex]\frac{x(x+3)-4(x+3)}{x+4} * \frac{2(x-4)(x+4) }{(x-4)^{2}}[/tex] , difference of 2 squares and perfect square
[tex]\frac{(x+3)(x-4)}{x+4} * \frac{2(x-4)(x+4) }{(x-4)^{2}}[/tex], finish factoring and simplify
2(x+3)
Alejandra correctly wrote the equation y-3=1/5 (x-10) to represent a line that her teacher sketched. The teacher then changed the line so it had a slope of 2, but still went through the same point. Which equation should Alejandra write to represent the new line?
Answers
Answer:
y-3=2(x-10)
Step-by-step explanation:
y-3=2(x-10)
pls help ill give brainleiesr
Answers
Answer:
<1 and <3 are vertical angles
Step-by-step explanation:
Vertical angles are formed from the same lines are share a vertex. They are opposite from each other
<1 and <3 are vertical angles
<2 and <4 are vertical angles
Answer:
[tex]{\Huge{\underline{\underline{\textbf{\textsf{Answer}}}}}}[/tex]
Vertical angles are formed from the same lines are share a vertex. They are opposite from each other
● <1 and <3 are vertical angles● <2 and <4 are vertical angles