# 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

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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

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

Then,