Geometric Sequences

Question 1

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

Revolt · Accepted Answer

2

Question 2

Isaak is writing an explicit formula to represent the sequence.64, 112, 196, 343, ...What value should he use as the common ratio in the formula? Write the answer as a decimal rounded to the nearest hundredth.

Revolt · Accepted Answer

1.75

Question 3

–81, 108, –144, 192, ...

Revolt · Accepted Answer

f(x) = –81

Question 4

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

Question 5

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 6

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 7

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 8

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

Revolt · Accepted Answer

f(x) = 80

Question 9

Which formula can be used to describe the sequence?, −4, −24, −144,...

Revolt · Accepted Answer

f(x) = (6)x − 1

Geometric Sequences Answers

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