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




Question Number 143148 by mathmax by abdo last updated on 10/Jun/21
find v_n =Σ_(k=0) ^n  (1/(3k+1)) interms of H_n   H_n =Σ_(k=1) ^n  (1/k)
$$\mathrm{find}\:\mathrm{v}_{\mathrm{n}} =\sum_{\mathrm{k}=\mathrm{0}} ^{\mathrm{n}} \:\frac{\mathrm{1}}{\mathrm{3k}+\mathrm{1}}\:\mathrm{interms}\:\mathrm{of}\:\mathrm{H}_{\mathrm{n}} \\ $$$$\mathrm{H}_{\mathrm{n}} =\sum_{\mathrm{k}=\mathrm{1}} ^{\mathrm{n}} \:\frac{\mathrm{1}}{\mathrm{k}} \\ $$

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