let give P_n (x)= Σ_(k=0) ^(2n) (1+(1/2) +...+(1/(k+1)))x^k and Q_n (x)= 1+(x/2)+(x^2 /3) +...(x^n /(n+1)) .prove that Q_(n ) divide P


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Question Number 28311 by abdo imad last updated on 23/Jan/18

$l e t g i v e P_{n} (x) = \sum_{k = 0}^{2 n} (1 + \frac{1}{2} + . . . + \frac{1}{k + 1}) x^{k} a n d$ $Q_{n} (x) = 1 + \frac{x}{2} + \frac{x^{2}}{3} + . . . \frac{x^{n}}{n + 1} . p r o v e t h a t Q_{n} d i v i d e P_{n} .$
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