Question Number 66727 by mathmax by abdo last updated on 19/Aug/19
$${let}\:\:{U}_{{n}} =\sum_{{k}=\mathrm{0}} ^{{n}} \:\frac{\mathrm{1}}{\mathrm{3}{k}+\mathrm{1}}\:\:\:{and}\:{H}_{{n}} =\sum_{{k}=\mathrm{1}} ^{{n}} \:\frac{\mathrm{1}}{{k}} \\ $$$${calculate}\:{U}_{{n}} \:{interms}\:{of}\:{H}_{{n}} \\ $$