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Worksheets

Geometric Sequence and Series

Total questions: 15

Worksheet time: 45mins

Name
Class
Date
1.
Find the common ratio: 16, 8, 4, 2, ...
a)
r = 2
b)
r = 8
c)
r = 1/4
d)
r = 1/2
2.
What is the sum of the first ten terms of the sequence 4, -12, 36, -144 . . . ?
a)
59,050
b)
-59,048
c)
-78,732
d)
118,096
3.

The next term of the sequence 2,4,8,16 is

a)

64

b)

32

c)

108

d)

20

4.

Is the given sequence geometric?

a)

Yes

b)

No

c)

Cannot be determined

5.

Find the 10th term of the following geometric sequence

5, 20, 80, 320, ...

a)

81,920

b)

327,680

c)

1,310,720

d)

5,242,880

6.

What would be the missing terms of the series

-1 - 5 - 25 - ... - 78125

a)

125 + 625 - 3125 + 15625

b)

125 - 625 - 15625

c)

125 - 625 - 3125 - 15625

d)

625 - 3125 - 15625

7.

Given the formula for a geometric sequence,  a1a_1   stands for an=a1rn1a_n=a_1r^{n-1}  

a)

common difference

b)

wanted term

c)

common ratio

d)

first term

8.

 an=a1rn1a_n=a_1r^{n-1}  

Given the formula for a geometric sequence , r stands for

a)

common difference

b)

wanted term

c)

common ratio

d)

first term

9.

 an=a1rn1a_n=a_1r^{n-1}  

Find the 7th term in the sequence when the first term is 2, and the common ratio is 4

a)

8192

b)

32768

c)

2048

d)

512

10.
What is the 14th term of the geometric sequence?
a)
14,348,907
b)
4,782,969
c)
1,594,323
d)
45
11.
An infinite series exists for which of the following situations?
a)
An arithmetic series
b)
A geometric series
c)
A geometric series with | r | > 1
d)
A geometric series with | r | < 1
12.

Find the sum of the finite geometric series:

a)

88419

b)

78124

c)

91846

d)

92234

13.
Find the geometric sum 
a)
-1456
b)
-4095
c)
1456
d)
4095
14.
Find the sum for the following series. 
a)
1.49
b)
3.14
c)
1.33
d)
1.66
15.

Find the sum of the infinite geometric series, if it exists:

-3 + -3/2 + -3/4 + -3/8...

a)

-6

b)

-8

c)

no sum

d)

-4