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Worksheets

Geometric Sequences

Total questions: 15

Worksheet time: 2hrs 49mins

Name
Class
Date
1.

What does r represent?

a)

Radical

b)

Common difference

c)

Common ratio

2.
Find the common ratio: 4, -16, 64, -256, ...
a)
r = -4
b)
r = 2
c)
r = -2
d)
r = 4
3.

The next term of the geometric sequence

4, 16, 64, ...

is

a)

256

b)

132

c)

120

d)

150

4.

What does n represent?

a)

Number

b)

Nothing

c)

Term you are trying to find

5.
Find the next three terms: 4, 12, 36, 108, ...
a)
324, 972, 2916
b)
972, 2916, 8748
c)
405, 1215, 3645
6.

What does a1 represent?

a)

Any term

b)

First term

c)

Last term

7.
Find the common ratio for the geometric sequence.
a)
2/3
b)
3/2
c)
-2/3
d)
-3/2
8.
What is the common ratio for the sequence:
28, 14, 7, 3.5...
a)
2
b)
1/2
c)
-14
d)
-7
9.

Find the 9th term in the following geometric sequence:

4, 8, 16, 32, ...

a)

384

b)

512

c)

768

d)

1,024

10.
Find the common ratio for the geometric sequence.
a)
10
b)
1/2
c)
2
d)
4
11.
You have $10 in you bank account.  It doubles every month.  How much money will you have after 5 months?
a)
$50
b)
$35
c)
$320
d)
$250
12.
Find the common ratio for the geometric sequence.
a)
1
b)
-1
c)
7
d)
-7
13.

What does r represent?

a)

Radical

b)

Common difference

c)

Common ratio

14.
Write the explicit formula for the geometric sequence.
a)
an = 10(2)n-1
b)
an = 2(10)n-1
c)
an = 10(2)n
d)
an = 2(10)n
15.
Find the common ratio for the geometric sequence.
a)
-4
b)
4
c)
1/4
d)
-1/4