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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?

arithmetic

geometric

neither

Question 3

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

Multiply, Shift, and Subtract

Reverse and Multiply

Question 4

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

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.)

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, ...?

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.)

common ratio

number of terms

first term

last term

Question 8

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

1,024

2,046

2,048

4,096

Question 9

Is the Fibonacci sequence arithmetic, geometric, or neither?

arithmetic

geometric

neither

Question 10

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

(True)

(False)

Question 11

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

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?

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?

common ratio

initial term

closed formula

common difference

Question 14

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

2 + 3n

2 * 3n

2 + 3n

2 - 3n

Question 15

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

109

110

111

112

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Subject: Calculus, Math

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