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Worksheets

Geometric Sequence

Total questions: 12

Worksheet time: 3600secs

Name
Class
Date
1.

What is the common ratio of this sequence ? 5, 25, 125, ...

a)

4

b)

2

c)

5

d)

6

2.

What is the 5th term of the sequence 7, 14, 28, ...?

a)

72

b)

48

c)

56

d)

112

3.

Which of the following is a geometric sequence?

a)

2, 4, 5, . . .

b)

2, 6, 18, . . .

c)

2, 4, 6, . . .

d)

10, 20, 200, . . .

4.

What is the common ratio of the geometric sequence -1, 6, -36, 216, ...?

a)

-6

b)

6

c)

12

d)

-4

5.

Solving for the nth term of geometric sequence, given that a1 = 1 and r= 2, what is the value of the 4th term?

a)

2

b)

8

c)

4

d)

16

6.

Solving for the nth term of geometric sequence, given that a1 = 4 and r= 6, what is the value of the 4th term?

a)

144

b)

864

c)

124

d)

764

7.

What is the 5th term of the geometric sequence -2, -8, -32, -128, ...?

a)

-2048

b)

-512

c)

-256

d)

-384

8.

The next term of the geometric sequence

4, 16, 64, ...

is

a)

256

b)

132

c)

120

d)

150

9.
Find the next three terms: 4, 12, 36, 108, ...
a)
324, 972, 2916
b)
972, 2916, 8748
c)
405, 1215, 3645
10.

What is the fifth term of the geometric sequence?

5, 15, 45,...

a)

135

b)

1875

c)

1215

d)

405

11.

Write the explicit equation for the geometric sequence: 5, 15, 45, 135, . . . ?

a)

t(n)=3(5)n1t\left(n\right)=3\left(5\right)^{n-1}

b)

t(n)=5(3)n1t\left(n\right)=5\left(3\right)^{n-1}

c)

t(n)=5n+3t\left(n\right)=5n+3

d)

t(n)=3n+5t\left(n\right)=3n+5

12.
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