Question

The sum of first 10 terms of the series \( \left(x+\frac{1}{x}\right)^{2}+\left(x^{2}+\frac{1}{x^{2}}\right)^{2}+\left(x^{3}+\frac{1}{x^{3}}\right)^{2}+\ldots . \), is

Answer 1

Let S_n denote the sum to n terms of the given sequence.

Then,