Geometric Sequences

Question 1

–81, 108, –144, 192, ...

Revolt · Accepted Answer

f(x) = –81

Question 2

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 3

Negative 2 and two-thirds, negative 5 and one-third, negative 10 and two-thirds, negative 21 and one-third, negative 42 and two-thirds, ellipsis

Revolt · Accepted Answer

f(x + 1) = 2f(x)

Question 4

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 5

Lena is asked to write an explicit formula for the graphed geometric sequence.

Revolt · Accepted Answer

2.5

Question 6

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

Revolt · Accepted Answer

f(x) = 80

Question 7

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 8

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 9

A conservationist determines that a particular beach is eroding at a rate of 1.1% each year. When writing an explicit formula to represent the amount of beach remaining each year, which value should she use as the common ratio?

Revolt · Accepted Answer

0.989

Geometric Sequences Answers

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