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Find the sum of (0.3)/(0.5) + (0.33)/(0....

Find the sum of `(0.3)/(0.5) + (0.33)/(0.55) + (0.333)/(0.555) + … ` to 15 terms.

A

10

B

9

C

3

D

5

Text Solution

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The correct Answer is:
B
`(0.3)/(0.5) + (0.33)/(0.55) + (0.333)/(0.555) + ... 15` terms
`S = (3)/(5) + (33)/(55) + (333)/(555) + ... 15 ` terms
`S = (3)/(5)[ 1+ (11)/(11)+ (111)/(111) + ... 15` terms]
`S= (3)/(5) xx 15 rArr S = 9`.
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