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Geometric Series

Total questions: 10

Worksheet time: 10mins

Name
Class
Date
1.

Evaluate the geometric series 12+48, ...,       n=81-2+4-8,\ ...,\ \ \ \ \ \ \ n=8  

a)

 13\frac{1}{3}  

b)

-86

c)

-87

d)

-85

2.

 3,  6, 12,  24, ....-3,\ \ 6,\ -12,\ \ 24,\ ....  Find the common ratio

a)

3

b)

-2

c)

2

d)

 12\frac{1}{2}  

3.
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
4.

What is the sum of the first three terms of the sequence 3, 15, 75,375...?

a)

15

b)

67

c)

93

d)

125

5.

What is the sum of the first seven terms of the sequence 3, 6, 12, 24, ...?

(a)  

6.
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
7.

Find the sum of the geometric series.

2 + 12 + 72 + 432

a)

432

b)

518

c)

211

d)

438

8.

Find the sum of geometric series.

−2 + 6 − 18 + 54 −162

a)

-118

b)

5

c)

-122

d)

201

9.

It is the sum of the terms of the geometric sequence.

a)

geometric series

b)

arithmetic series

c)

fibonacci series

d)

harmonic series

10.

Find the sum of the n terms when

a1=4 , r = -5 and n = 4

a)

416

b)

-416

c)

775

d)

-775