let-U-n-k-0-n-1-3k-1-and-H-n-k-1-n-1-k-calculate-U-n-interms-of-H-n-

Question Number 66727 by mathmax by abdo last updated on 19/Aug/19

$${let}\:\:{U}_{{n}} =\sum_{{k}=\mathrm{0}} ^{{n}} \:\frac{\mathrm{1}}{\mathrm{3}{k}+\mathrm{1}}\:\:\:{and}\:{H}_{{n}} =\sum_{{k}=\mathrm{1}} ^{{n}} \:\frac{\mathrm{1}}{{k}} \\ $$$${calculate}\:{U}_{{n}} \:{interms}\:{of}\:{H}_{{n}} \\ $$

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