Question 1

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

Group of answer choices

It is equal to .

It approximates.

It approximates the golden ratio.

It is a fixed quantity.

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

a_n= 2a_n-1+ 2

a_n= 2a_n-1

a_n=a_n-1+ 2 anda₀= 2

a_n= 2a_n-1anda₀= 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 terma₄in the sequence defined recursively bya_nn= 2a_n1+ 1witha₀= 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