Series/R/Cauchy product/1 over n^2 and 1 over n^3/First five members/Exercise

Compute the first five terms of the Cauchy product of the two convergent series

$\sum _{n=1}^{\infty }{\frac {1}{n^{2}}}\,\,{\text{ and }}\,\,\sum _{n=1}^{\infty }{\frac {1}{n^{3}}}.$

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