Given the arithmetic sequence -9,-4, 1, 4,... Which term has a value of 166?

Answers

Answer 1

Answer:

36th term

Step-by-step explanation:

The nth term of an arithmetic sequence is

[tex]a_{n}[/tex] = a₁ + (n - 1)d

where a₁ is the first term and d the common difference

Here a₁ = - 9 and d = - 4 - (- 9) = - 4 + 9 = 5 , then

[tex]a_{n}[/tex] = - 9 + 5(n - 1) = - 9 + 5n - 5 = 5n - 14

Equate the nth term to 166 and solve for n

5n - 14 = 166 ( add 14 to both sides )

5n = 180 ( divide both sides by 5 )

n = 36

Answer 2

jimrgrant1 made this so give him the credit, i put it here because his was  reported

Answer:

36th term

Step-by-step explanation:

The nth term of an arithmetic sequence is

= a₁ + (n - 1)d

where a₁ is the first term and d the common difference

Here a₁ = - 9 and d = - 4 - (- 9) = - 4 + 9 = 5 , then

= - 9 + 5(n - 1) = - 9 + 5n - 5 = 5n - 14

Equate the nth term to 166 and solve for n

5n - 14 = 166 ( add 14 to both sides )

5n = 180 ( divide both sides by 5 )

n = 36


Related Questions

Solve the the equation by substitution
5x=-2y+48
x=-3y+20​

Answers

Answer:

(8, 4)

Step-by-step explanation:

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Answers

I believe c since it's 2 times smaller and the letters are going in the same alphabetic order as the first rectangle
C I’m pretty sure sorry if I’m wrong

On wends day 72% of the customers who bought gas at the gas station made additional purchases.There were 250 customers who bought gas. How many of the 250 customers made additional purchases

Answers

Answer:

A = 180 customers.

Step-by-step explanation:

Let the number of customers that made additional purchases be A.

Given the following data;

Percentage = 72% = 72/100 = 0.72

Total number of customers = 250

To find the number of customers that made additional purchases;

A = 0.72 * 250

A = 180 customers.

Therefore, 180 customers made additional purchases on Wednesday.

help plz show all your steps

Answers

Answer:

$15.5

Step-by-step explanation:

33.50-18=15.5

jope it helps ypu a lot.

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Answers

the answer is 56 for the value of x

Answer: x=56

Step-by-step explanation:

I started off by figuring out what’s the total internal angles for a pentagon which is 540

Then i did 72+ 3x +2x+89+99 = 540

And i solved for x=56

How many tablespoons is one dose

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Answer:

usually 2 depending on age

HELP I NEED HELP ASAP
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Answers

Answer:

B

Step-by-step explanation:

The area of a rectangular park is 3500sq.m.If its width is 50m,then find the
cost of its fencing at the rate of Rs.100per meter​

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Deez nu-tz gottem
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Find the Scale factor of Figure A to Figure B

Answers

I hope this makes sense and helps :)

if f(7)=22, then f-1(22)=

Answers

Answer:

[tex]f^{-1}[/tex] (22) = 7

Step-by-step explanation:

The inverse function maps the output of the function back to its input

f(7) = 22 means when input is 7 the output is 22

The inverse maps the output 22 back to the input 7 , that is

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On my way to school I stopped for gas and spent $20. This gave me 6.671 gallons of gas. What is the price of the gas per gallon? please help me​

Answers

2.99805126667666 dollars per gallon

Answer:

2.99805126668

Step-by-step explanation:

I got this by doing $20/6.71, since the way to find anything per, is doing

(total amount of money/amount of product given by that amount)

Sara will use 7 cups of apples to make 4 batches of applesauce. Decide whether
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Choose Yes or No for each expression.
a. 7-4
Yes No
d. $
Yes No
b. 4 - 7
Yes No
e.
7x)
Yes No
c.
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4
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f.
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Answers

Answer:

1,YES   2,NO   3,YES   4,YES   5,NO   6,NO

☘️HOPE THIS HELPS! ☘️

Step-by-step explanation:

A data set that consists of many values can be summarized using the five-number summary. Arrange these five values in order from least to greatest. median maximum minimum Q1 Q3

Answers

Answer:

minimum, Q1, median, Q3, maximum.

Step-by-step explanation:

i did the test

Answer:

minimum, Q1, median, Q3, maximum.

A 8-foot ladder touches the side of a building at a point 6 feet above the ground. At what height would a 22-foot ladder touch the building if it makes the same angle with the ground as the shorter ladder? Round to the nearest tenth if necessary.

Answers

Answer:Katie is 100 cm tall and is standing so that her mother's shado covers her shadow. She is 90 cm from her mother and her mother's shadow is 225cm long. How tall is her mother?

Step-by-step explanation:

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Answers

Answer:

114

Step-by-step explanation:

A=LxW

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Anthropologists approximate the height of a primate by the size of its humerus (the bone from the elbow to the shoulder) using the equation

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in

Answers

Answer:

26.83

Step-by-step explanation:

H=1.2L + 27.8

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Answers

Answer:

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Step-by-step explanation:

shawtyyyy

When x = 6 and y = 3, which of the expressions below will be greater than 100? Select all
that apply.
A) 6xy
B) 5(4x + 3y)
C) 3x2 – 2y

D)2x3/
Y + 5

Answers

I think it would be c

A salesperson at a jewelry store earns a 4​% commission each week. Last​ week, Jarrod sold $640 worth of jewelry. How much did he make in​ commission? How much did the jewelry store make from his ​sales?

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Answers

Answer: 19.2

Step-by-step explanation:

Plz give brainlest

Answer:$51.20 commission

Step-by-step explanation:

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Answers

Answer:

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Step-by-step explanation:

Answer:

2 2/3

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Answers

Answer:

diego has 1/4 of a brownie tray left to split amongst his 5 friends, how many brownies will each  friend get?(0.05)

Step-by-step explanation:

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Answers

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Answers

Answer:

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Apply the Pythagorean Theorem to find the distance between points A and C

A: 29 units
B: 40 units
C: 58 units
D: 116 units

Answers

Answer:

c 116

Step-by-step explanation:

Answer:

The answer is c

Step-by-step explanation:


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Answers

A positive slope is a slope that is positive, not negative. The line with the slope increases/moves in an upward direction.

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Answers

Slope is -1
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a box of cereal states that there are 90 calories in a 3/4-cup serving. How many calories are there in 4 cups of the cereal.

Answers

Answer:

480 calories

Step-by-step explanation:

4 ÷ 3/4= 5 1/3 servings

90 x 5 1/3= 480

richard klein works as auto mechanic and earns the following commission rates 3.00 percent for oil changes 5.00 percent for tune ups and 6.25 percent on auto parts sales he is guaranteed a minimum salary of $2,450.00 per month last month he brought in $2,500.00 in oil changes $4,500.00 in tune ups and sold $28,200.00 in parts what is his gross pay for the month

Answers

Answer:

Richard's gross pay for the month was $ 4,512.5.

Step-by-step explanation:

Given that Richard Klein works as auto mechanic and earns the following commission rates: 3.00 percent for oil changes, 5.00 percent for tune ups and 6.25 percent on auto parts sales; and he is guaranteed a minimum salary of $ 2,450.00 per month, if last month he brought in $ 2,500.00 in oil changes, $ 4,500.00 in tune ups and sold $ 28,200.00 in parts, to determine what is his gross pay for the month the following calculation must be performed:

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It says that you have to fill in all angle measures that are numbered / will give brainlist

Answers

Answer:

<1 = 107

<2 = 73

Step-by-step explanation:

<1 = 107 because of the corresponding angles thm

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3 in.
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Answers

Answer:

9 + 8 + 12 = 29

Step-by-step explanation:

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