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Worksheets

Sum of a Finite Geometric Series

Total questions: 20

Worksheet time: 20mins

Name
Class
Date
1.

What is the sum of the first 8 terms of the geometric sequence: 1 , 3 , 9 , 27 , . . . ?

a)

3,260

b)

3,270

c)

3,280

d)

3,290

2.

Find the sum of the n terms when a1=4 , r = -5 and n = 4 .

a)

416

b)

-416

c)

775

d)

-775

3.

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

a)

geometric series

b)

arithmetic series

c)

fibonacci series

d)

harmonic series

4.

Which of the following represents the SUM of a geometric series with 8 TOTAL terms and whose FIRST TERM is 3 and whose COMMON RATIO is 4?

a)

32,756

b)

42,560

c)

28,765

d)

65,535

5.

Find the sum of the geometric series.

a)

248

b)

124

c)

120

d)

240

6.

Find the sum for the following series. 

a)

44

b)

-162

c)

-682

d)

324

7.

Determine the sum of the finite geometric sequence.

a)

13,120

b)

13,021

c)

12,031

d)

11,320

8.

Find the sum of the finite geometric series:

a)

88419

b)

78124

c)

91846

d)

92234

9.

Find the sum for the following series. 

a)

49

b)

3.14

c)

1.33

d)

1.66

10.

Find the sum for the following series. 

a)

49

b)

3.14

c)

1.33

d)

1.66

11.

Find the sum of the geometric series.

a)

732

b)

-732

c)

244

d)

-244

12.

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

13.

Find the sum of the geometric series.

2 + 12 + 72 + 432

a)

432

b)

518

c)

211

d)

438

14.

Find S8 for: -1 - 3 - 9 - 27...

a)

-3280

b)

-3135

c)

-3323

d)

-3343

15.

Which series would you use this formula for?

a)

Arithmetic Series

b)

FINITE Geometric Series

c)

INFINITE Geometric Series

d)

Any Series

16.

Find the sum of the geometric series.

2 + 12 + 72 + 432

a)

432

b)

518

c)

211

d)

438

17.

Find the sum of geometric series.

−2 + 6 − 18 + 54 −162

a)

-118

b)

5

c)

-122

d)

201

18.

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

19.

The sum of an finite Geometric series is given by:

a)
b)
c)
d)
20.

Evaluate the 5th partial sum of the given geometric sequence: 2 , 12 , 72 , ...

a)

3110

b)

2592

c)

18,662

d)

cannot be determined