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Question

The sum of the series 5.05+1.212+0.29088+........... is


A

6.93378

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B

6.87342

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C

6.74384

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D

6.64474

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Solution

The correct option is D

6.64474


Explanation for correct option

Given: 5.05+1.212+0.29088+...........

Let r be the common ratio

r=1.2125.05r=0.24

5.05+1.212+0.29088+........... is a geometric progression with first term a=5.05 and common ratio r=0.24

sum of geometric progression=arn-1r-1

sum of 5.05+1.212+0.29088+...........=5.051-0.24

5.05+1.212+0.29088+...........=5.050.76

5.05+1.212+0.29088+...........=6.644736842105263

5.05+1.212+0.29088+...........6.64474

Hence,OptionD is correct.


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