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

Find the sum to n terms of the following series:
`(x+(1)/(x))^(2)+(x^(2)+(1)/(x^(2)))^(2)+(x^(3)+(1)/(x^(3)))^(2)+(x^(4)+(1)/(x^(4)))^(2)+...`

Text Solution

Verified by Experts

The correct Answer is:
`(x^(2n)-1)/(x^(2)-1)(x^(2)+x^(-2n))+2n`
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