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

let  U_n =Σ_(k=0) ^n  (1/(3k+1))   and H_n =Σ_(k=1) ^n  (1/k)  calculate U_n  interms of H_n

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

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