Wayground logo

Free Printable Worksheets

Font size

S
M
L
XL
Worksheets

Sum of the term of a given finite or infinite geometric sequence

Total questions: 10

Worksheet time: 7mins

Name
Class
Date
1.

4 + 2 + 1 + 1/2, (a)  

What it the sum of the infinite series above?

2.

Evaluate the geometric series below:

-4 - 8 - 16 - 32..., S6

(a)  

3.

Find the sum of the first 6 terms of geometric sequence

given the nth term

(a)  

4.

Find the sum of the first 6 terms of the geometric sequence 2, 8,32,128,... .

(a)  

5.

What best describes the following infinite geometric series:

1/2 + 3/4 + 9/8 + ...

a)

Diverges

b)

Converges

6.

What best describes the following infinite geometric series:

1/3 - 1/9 + 1/27 - 1/81 + ...

a)

Diverges

b)

Converges

7.

Evaluate the infinite geometric series:

3 - 2 + 4/3 - 8/9 + ...

a)

5/4

b)

9/5

c)

5/6

d)

65/27

8.

The sum of an infinite Geometric series is given by:

a)
b)
c)
d)
9.

List the first five terms of the geometric sequence. Assume that the sequence begins at n = 1.

a)

2 , 1/2 , 1/8 , 1/32 , 1/128

b)

1/2 , 1/8 , 1/32 , 1/128 , 1/256

c)

8 , 2 , 1/2 , 1/8 , 1/32

d)

2 , 8 , 32 , 128 , 256

10.

Difference between a sequence and a series is that

a)

sequence is arrangement, series is the sum

b)

series is the arrangement, sequence is the sum

c)

series has more letters than sequence

d)

sequence has more letters than series