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Find the sum to n terms of the sequence ...

Find the sum to n terms of the sequence :
(i) `(a+1/x)^(2), (x^(2)+1/x^(2))^(2), (x^(3)+1/x^(3))^(2)`, ... to n terms
(ii) `(x+y), (x^(2)+xy+y^(2)), (x^(3)+x^(2)y+xy^(2)+y^(3))`, ... to n terms

A

`(x^(2n)-1)/(x^2 -1)xx (x^(2n+2) +1)/(x^(2n))+2n`

B

`(x^(2n)+1)/(x^2 +1) xx(x^(2n+2) -1)/(x^(2n))-2n`

C

`(x^(2n)-1)/(x^2 -1) xx(x^(2n-1) -1)/(x^(2n))-2n`

D

None of these

Text Solution

Verified by Experts

The correct Answer is:
A
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