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For a GP, if S(n)=(4^(n)-3^(n))/(3^(n)),...

For a GP, if `S_(n)=(4^(n)-3^(n))/(3^(n))`, then `t_(2)`=….. .

A

`1/9`

B

`2/9`

C

`7/9`

D

`4/9`

Text Solution

Verified by Experts

The correct Answer is:
D
We have,`S_(n)=(4^(n)-3^(n))/(3^(n))`
For `n=1,S_(1)=t_(1)=(4-3)/3=1/3`
For n=2,`S_(2)=t_(1)+t_(2)=(4^(2)-3^(2))/(3^(2))=7/9`
`therforet_(2)=7/9-t_(1)=7/9-1/3=(7-3)/9=4/9`
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