Free Printable 8.2 Geometric Sequences

1.

What is the common ratio for the sequence:
28, 14, 7, 3.5...

a)

2

b)

1/2

c)

-14

d)

-7

2.

Find the common ratio: 4, -16, 64, -256, ...

a)

r = -4

b)

r = 2

c)

r = -2

d)

r = 4

3.

Find the common ratio for the following geometric sequence:

7, -7, 7, -7, ...

a)

1

b)

-1

c)

7

d)

-7

4.

Find the next three terms: -4, -12, -36, -108, ...

a)

36, -108, 324

b)

-324, -972, -2916

c)

324, -972, 2916

d)

-108, 324, -972

5.

Find the 9th term in the following geometric sequence:

4, 8, 16, 32, ...

a)

384

b)

512

c)

768

d)

1,024

6.

What does r represent?

a)

Radical

b)

Common difference

c)

Common ratio

7.

What does a₁ represent?

a)

Any term

b)

First term

c)

Last term

8.

What does n represent?

a)

Number

b)

Nothing

c)

Term you are trying to find

9.

Is the sequence -432, 72, -12, 2,...geometric?

a)

yes

b)

no

10.

Determine whether the sequence is arithmetic, geometric, or neither.

a)

arithmetic

b)

geometric

c)

neither

11.

Determine whether the sequence is arithmetic, geometric, or neither.

a)

arithmetic

b)

geometric

c)

neither

12.

What are the next 3 terms in the following geometric sequence:

512, 256, 128, ___, ___, ___, ...

a)

1024, 2048, 4096

b)

32, 8, 2

c)

64, 32, 16

d)

92, 66, 38

13.

What is the 9^th term in a geometric sequence with a common ratio of 2 and a first term of 3?

a)

384

b)

768

c)

1,536

d)

27

14.

Write the exponential equation that represents the given table.

a)

$y=80\cdot4^x$

b)

$y=80\cdot\frac{1}{4}^x$

c)

$y=80-60x$

d)

$y=80+\frac{1}{4}x$

15.

Write the equation for the table?

a)

y = 2(20)^x

b)

y = -2(20)^x

c)

y = 20(2)^x

d)

y = 20(.5)^x

16.

What is the equation for the table?

a)

y = 1(2)^x

b)

y = 2(1)^x

c)

y = 2(3)^x

d)

y = 3(2)^x

17.

The table below shows the balance in Mr. Harris’s retirement savings account for several years after he retired.

What is the equation that represents this table?

a)

$y=274,999.91\left(.91\right)^x$

b)

$y=.91\left(274,999\right)^x$

c)

$y=200,000\left(91\right)^x$

d)

$y=275,000\left(.95\right)^x$

18.

Using the equation from the last question, Predict when the balance will be less than $100,000, assuming that the pattern continues.

The table is provided if you need it again.

a)

Year 30

b)

Year 29

c)

Year 26

d)

Year 25

19.

The table below shows the length and weight of a species of fish.

What is the exponential equation that represents this table.

a)

$y=.67\left(1.01\right)^x$

b)

$y=.24\left(1.02\right)^x$

c)

$y=.64\left(1.08\right)^x$

d)

$y=.72\left(1.08\right)^x$

20.

Predict the weight of a fish that is 24 inches long using the formula from the last question. The table is below as well if you need it again.

a)

4.06

b)

4.57

c)

.85

d)

.39

8.2 Geometric Sequences

Total questions: 20

Worksheet time: 5hrs 0mins

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