passpadi

2010

Mathematics

JAMB

Find the sum to infinity of the following series. 0.5 + 0.05 + 0.005 + 0.0005 + .....

A.

5/8

B.

5/7

C.

5/11

D.

5/9

Correct Answer: 5/9

Explanation

Using S∞ = a/1−r r = 0.05/0.5 = 1/10 S∞ = 0.5/(1/10) = 0.5/(9/10) = 0.5×10/9 = 5/9

Using S∞ = a/1−r r = 0.05/0.5 = 1/10 S∞ = 0.5/(1/10) = 0.5/(9/10) = 0.5×10/9 = 5/9
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