Geometric Sequences

Question 1

Which sequences are geometric? Check all that apply.10, 7.5, 5.625, 4.21875, …160, 40, 10, 2.5, …20, 70, 245, 857.5, …13, 16.5, 20, 23.5, … 5, 5.5, 6.05, 6.655, …16, 17.1, 18.2, 19.3, …

Revolt · Accepted Answer

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Question 2

The formula f(x + 1) = (f(x)) defines a geometric sequence where f(1) = 18. Which explicit formula can be used to model the same sequence?

Revolt · Accepted Answer

B:

Question 3

Which statements are true regarding the sequence below? Check all that apply.It can be represented using the formula f(x + 1) = (f(x)) when f(1) = .It can be represented using the formula .It can be represented using the formula .The domain of the sequence is all real numbers. The range of the sequence is all natural numbers.

Revolt · Accepted Answer

A: It can be represented using the formula f(x + 1) = (f(x)) when f(1) = .; C: It can be represented using the formula .

Question 4

Which statements are true for the given geometric sequence? Check all that apply.

Revolt · Accepted Answer

A: The domain is the set of natural numbers.; C: The recursive formula representing the sequence is f(x + 1) = (f(x )) when f(1) = 4.; E: The sequence shows exponential growth.

Question 5

Which sequence can be generated from the formula f(x + 1) = (f(x))?

Revolt · Accepted Answer

C:

Question 6

A bouncing ball reaches a height of 54 inches at its first peak, 36 inches at its second peak, and 24 inches at its third peak. Which formula represents this scenario?

Revolt · Accepted Answer

B: f(x) = 54

Question 7

Shanna writes the formula f(x + 1) = 2.5f(x) when f(1) = 2 to represent this sequence: 2, 5, 12.5, 31.25, …Which error did Shanna make?

Revolt · Accepted Answer

C: She should have multiplied by f(x) rather then have it as an exponent.

Question 8

A sequence has a common ratio of and f(5) = 81. Which explicit formula represents the sequence?

Revolt · Accepted Answer

B: f(x) = 16

Question 9

What is the common ratio for the geometric sequence below, written as a fraction?

Revolt · Accepted Answer

: 5; : 8

Question 10

What is the common ratio for the geometric sequence below, written as a fraction?

Revolt · Accepted Answer

: 5; : 8

Geometric Sequences Answers

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Geometric Sequences Answers

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