passpadi

2004

Mathematics

JAMB

Find the sum to infinity of the series 1/2 , 1/6, 1/18, .....

A.

2/3

B.

1/3

C.

3/4

D.

1

Correct Answer: 3/4

Explanation

a=1/2 r=(1/6)/(1/2)=1/6×2/1=1/3 S_∞=a/(1-r) S_∞=(1/2)/(1-1/3)=(1/2)/(3/2)=1/2×3/2=3/4

a=1/2 r=(1/6)/(1/2)=1/6×2/1=1/3 S_∞=a/(1-r) S_∞=(1/2)/(1-1/3)=(1/2)/(3/2)=1/2×3/2=3/4
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