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The infinite sum sum(n=1)^(oo) ((5^(n) +...

The infinite sum `sum_(n=1)^(oo) ((5^(n) + 3^(n))/(5^(n))) ` is equal to

A

`(3)/(2)`

B

`(3)/(5)`

C

`(2)/(3)`

D

None of these

Text Solution

Verified by Experts

The correct Answer is:
D
(i) `overset(oo)underset(n=1)(sum) (1+((3)/(5))^(n)) =1 + (3)/(5) + ((3)/(5))^(2) + ... +oo`
(ii) `S_(oo) = (a)/(1-r)`, where a is the first term and r is the common ratio.
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