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Question 1Group of answer choicesIt is equal to ϕ.ϕIt approximates the golden ratio.It is a fixed quantity. 

Which of the following is true about the ratio between the terms of the Fibonacci Sequence? (Check all that apply.)

It approximates .

Question 2

Consider the sequence, 8, 16, 24, ... . Is this sequence arithmetic, geometric, or neither?

Group of answer choices

arithmetic

geometric

neither

 


Question 3

Which of the following techniques could you use to find the sum of the sequence 8, 16, 24, ..., 320?

Group of answer choices

Multiply, Shift, and Subtract

Multiply, Shift, and Add

Reverse and Add

Reverse and Multiply

 


Question 4

Find the sum of the sequence 8, 16, 24, ..., 320.

Group of answer choices

6,272

6,552

6,560

6,880

 


Question 5

How is the quantity 2 involved in the sequence, 2, 4, 8, ...? (Check all that apply.)

Group of answer choices

2 is the initial term of the sequence.

2 is the common difference of the sequence.

2 is the common ratio of the sequence.

2 is the difference between the first and second terms in the sequence.

 


Question 6

Which is a recursive definition for, 2, 4, 8, ...?

Group of answer choices

an = 2an-1 + 2

an = 2an-1

an = an-1 + 2 and a0 = 2

an = 2an-1 and a0 = 2

 


Question 7

To find the sum of the sequence 2, 4, 8, ..., 1,024, using the Multiply, Shift, and Subtract technique, which of the following would we need to know? (Check all that apply.)

Group of answer choices

common ratio

number of terms

first term

last term

 


Question 8

Find the sum of the sequence 2, 4, 8, ..., 1,024.

Group of answer choices

1,024

2,046

2,048

4,096

 


Question 9

Is the Fibonacci sequence arithmetic, geometric, or neither?

Group of answer choices

arithmetic

geometric

neither

 


Question 10

(True/false) The sequence, 13, -44, -101, ..., is arithmetic.

Group of answer choices

(True)

(False)

 


Question 11

Which of the following must be true about the common ratio of an increasing geometric sequence? (Check all that apply.)

Group of answer choices

It must be greater than 0.

It must be greater than 1.

It must be an integer.

It must not be a fraction.

 


Question 12

What is the term a4 in the sequence defined recursively by ann= 2an−1 + 1 with a= 3?

Group of answer choices

15

31

63

127

 


Question 13

Besides knowing the last term, what else do you need to know about a sequence in order to determine the number of terms that are in its partial sum?

Group of answer choices

common ratio

initial term

closed formula

common difference

 


Question 14

Give a closed formula for the sequence, 2, 5, 8, ..., 332.

Group of answer choices

2 + 3n

2 * 3n

2 + 3n

2 - 3n

 


Question 15

How many terms does the sequence, 2, 5, 8, ..., 332 have?

Group of answer choices

109

110

111

112

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Subject: Calculus, Math

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