AnswersPrecalculusArithmetic Series

Arithmetic Series — Unit test Answers

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3

Which of the following can be used to evaluate the series ?

Question illustration
A
mc012-2.jpg
Option A
B
mc012-3.jpg
Option B
C
mc012-4.jpg
Option C
D
mc012-5.jpg
Option D
4

Which of the following is equivalent to ?

Question illustration
A
mc025-2.jpg
Option A
B
mc025-3.jpg
Option B
C
mc025-4.jpg
Option C
D
mc025-5.jpg
Option D
5

Which of the following is true regarding the sequence below?

Question illustration
A
The sequence is arithmetic because there is a common difference of .
Option A
B
The sequence is arithmetic because there is a common difference of 1.
C
The sequence is not arithmetic because there is no common difference between the values of n.
D
The sequence is not arithmetic because there is no common difference between the values of an.
6

What is the sum of the series ?

Question illustration
A
1,830
B
2,010
C
5,400
D
5,490
9

A ball is dropped from a height of 5 ft and bounces to 60% of its previous height on each subsequent bounce. Which statement is true regarding the vertical distance the ball has traveled when it hits the ground for the fourth time?

A
One should use , which results in 10.88 ft for the vertical distance traveled.
Option A
B
One should use , which results in16.76 ft for the vertical distance traveled.
Option B
C
One should use , which results in 18.06 ft for the vertical distance traveled. .
Option C
D
One should use , which results in 21.76 ft for the vertical distance traveled.
Option D
10

Which series has a sum of 20?

A
mc023-1.jpg
Option A
B
mc023-2.jpg
Option B
C
mc023-3.jpg
Option C
D
mc023-4.jpg
Option D
11

What is the value of S4 for ?

Question illustration
A
mc008-2.jpg
Option A
B
mc008-3.jpg
Option B
C
mc008-4.jpg
Option C
D
mc008-5.jpg
Option D
12

What are the first three terms of the sequence represented by the recursive formula , if ?

Question illustration
A
12.25, –10.25, 13.25
B
0.25, 3.75, 5.25
C
–13.25, 17.25, –8.25
D
–4.25, –3.25, 7.25
13

Vince wrote the sequence below.Which of the following explains whether the sequence is geometric?

Question illustration
A
The sequence is geometric because was added to each term to get the next term.
Option A
B
The sequence is geometric because was multiplied to each term to get the next term.
Option B
C
The sequence is not geometric because was added to each term to get the next term.
Option C
D
The sequence is not geometric because 3 was multiplied to each term to get the next term.
20

Which summation formula is equivalent to the one below?

Question illustration
A
mc012-2.jpg
Option A
B
mc012-3.jpg
Option B
C
mc012-4.jpg
Option C
D
mc012-5.jpg
Option D

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