AnswersGA-Algebra Concepts and Connections CRVertical Stretches and Shrinks of Exponential Functions

Geometric Sequences Answers

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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?

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

A
One-half
Option A
B
2
C
6
D
12
3

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

Question illustration
A
1
B
2
C
3
D
8
4

Pablo generates the function to determine the xth number in a sequence.

Question illustration
A
f(x + 1) = f(x)
Option A
B
f(x) = f(x + 1)
Option B
C
f(x + 1) = f(x)
Option C
D
f(x) = f(x + 1)
Option D
5

Which graph represents a geometric sequence?

A
On a coordinate plane, 5 points are plotted. The points are (1, 1), (2, 3), (3, 5), (4, 7), (5, 9).
Option A
B
On a coordinate plane, 4 points are plotted. The points are (1, 1), (2, 2), (3, 4), (4, 8).
Option B
C
On a coordinate plane, 3 points are plotted. The points are (1, 2), (4, 4), (9, 6).
Option C
D
On a coordinate plane, 3 points are plotted. The points are (1, 1), (2, 4), (3, 9).
Option D
6

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

Question illustration
A
f(x + 1) = –2f(x)
B
f(x + 1) = f(x)
Option B
C
f(x + 1) = f(x)
Option C
D
f(x + 1) = 2f(x)
7

Select two options.

A
The graph will show exponential growth.
B
The graph will appear linear.
C
The domain will be the set of natural numbers.
D
The range will be the set of natural numbers.
E
The graph will show exponential decay.
8

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

Question illustration
A
f(x) = 6
Option A
B
f(x) = −6
Option B
C
f(x) = (6)x − 1
Option C
D
f(x) = (−6)x − 1
Option D
9

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

Question illustration
A
f(x) = 80
Option A
B
f(x) = 320
Option B
C
f(x) = 80(4)x – 1
D
f(x) = 320(4)x – 1
10

–81, 108, –144, 192, ...

A
f(x) = –81
Option A
B
f(x) = –81
Option B
C
f(x) = –81
Option C
D
f(x) = –81
Option D

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