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The sum o f series 1+4/5+7/(5^2)+(10)/(5...

The sum o f series `1+4/5+7/(5^2)+(10)/(5^3)+oo` is

A

`16/35`

B

`11/8`

C

`35/16`

D

`7/16`

Text Solution

Verified by Experts

The correct Answer is:
c
Using, `S_(oo) = a/(1-r) +(dr)/(1-r)^(2),if |r|lt1`
Here,` a=1 , r = 1/5 , d=3 `
` :. S_(oo) 1/(1-1/5)+(3xx1/5)/(1-1/5)^(2) = 5/4 +3/(5xx16/25)`
` = 5/4 +15/16 = 35/16`
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MHTCET PREVIOUS YEAR PAPERS AND PRACTICE PAPERS-SEQUENCES AND SERIES -EXERCISE 19
  1. The sum o f series 1+4/5+7/(5^2)+(10)/(5^3)+oo is

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