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prove-that-1-1-2-1-3-1-n-p-n-2q-n-with-p-n-odd-




Question Number 65917 by mathmax by abdo last updated on 05/Aug/19
prove that 1 +(1/2) +(1/3) +...+(1/n) =(p_n /(2q_n ))  with p_n odd
$${prove}\:{that}\:\mathrm{1}\:+\frac{\mathrm{1}}{\mathrm{2}}\:+\frac{\mathrm{1}}{\mathrm{3}}\:+…+\frac{\mathrm{1}}{{n}}\:=\frac{{p}_{{n}} }{\mathrm{2}{q}_{{n}} }\:\:{with}\:{p}_{{n}} {odd} \\ $$