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find-S-n-k-0-n-1-3k-1-interms-of-H-n-k-1-n-1-k-




Question Number 41286 by maxmathsup by imad last updated on 04/Aug/18
find  S_n =Σ_(k=0) ^n   (1/(3k+1)) interms of H_n =Σ_(k=1) ^n  (1/k)
$${find}\:\:{S}_{{n}} =\sum_{{k}=\mathrm{0}} ^{{n}} \:\:\frac{\mathrm{1}}{\mathrm{3}{k}+\mathrm{1}}\:{interms}\:{of}\:{H}_{{n}} =\sum_{{k}=\mathrm{1}} ^{{n}} \:\frac{\mathrm{1}}{{k}} \\ $$

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