Geometric Sequences

Question 1

A bouncing toy reaches a height of 64 inches at its first peak, 48 inches at its second peak, and 36 inches at its third peak. Which explicit function represents the geometric sequence of the heights of the toy?

Revolt · Accepted Answer

f(x) = 64

Question 2

Which graph represents a geometric sequence?

Revolt · Accepted Answer

On a coordinate plane, 4 points are plotted. The points are (1, 1), (2, 2), (3, 4), (4, 8).

Question 3

Natalia is writing a recursive formula to represent the sequence.8, 12, 18, 27, ...What value should she use as the common ratio in the formula?

Revolt · Accepted Answer

Answer image: //media.edgenuity.com/evresources/cba720841199a2ade067f8819eb7c607.png

Question 4

A sequence of numbers begins with 12 and progresses geometrically. Each number is the previous number divided by 2.

Revolt · Accepted Answer

One-half

Question 5

The points shown on the graph represent the numbers in a geometric sequence.

Revolt · Accepted Answer

2

Question 6

Select two options.

Revolt · Accepted Answer

The domain will be the set of natural numbers.; The graph will show exponential decay.

Question 7

On a coordinate plane, 3 points are plotted. The points are (1, 80), (2, 20), (3, 5).

Revolt · Accepted Answer

f(x) = 80

Question 8

–81, 108, –144, 192, ...

Revolt · Accepted Answer

f(x) = –81

Question 9

Sebastian writes the recursive formula f(x+1) = 4f(x) to represent a geometric sequence whose second term is 12.

Revolt · Accepted Answer

f(x) = 3(4)x − 1

Geometric Sequences Answers

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