Latest Elitmus Aptitude Question SOLUTION: 2/5+15/{5)^+2/5^3+15/5^4+....infinity

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(#M40040139) ELITMUS Category question number system Keep an EYE

2/5+15/{5)^+2/5^3+15/5^4+....infinity

Asked In Elitmus aquib aslam (9 years ago)

Unsolved Read Solution (6)

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anurag mishra  (9 years ago)

Ans should be 25/24

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aquib aslam  (9 years ago)

ma ke laude

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Harmanpreet singh  (9 years ago)

ans is 25/24

b option

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delli harin  (9 years ago)

=2/5+3/5+2/5^3+3/5^3+....infinity
=2(1/5+1/5^3+...)+3(1/5+1/5^3+...)
common the series
=(1/5+1/5^3+...)(2+3)=5(1/5+1/5^3+..)=1+1/5^2+1/5^4+....
Geometric series formula=a/(1-r)
a=first term of the series,r is common ratio
r=second term/first term=1/5^2/1/5^0=1/25
substitute in formula
1/(1-1/25)=24/25.

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aquib aslam  (9 years ago)

sorry it is 15/5^2

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Aman chanana  (9 years ago)

please give options

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