prove-that-k-1-n-H-k-n-1-H-n-n-and-k-1-n-H-k-2-n-1-H-n-2-2n-1-H-n-2n-

Question Number 73044 by mathmax by abdo last updated on 05/Nov/19

$${prove}\:{that}\:\:\sum_{{k}=\mathrm{1}} ^{{n}} \:{H}_{{k}} =\left({n}+\mathrm{1}\right){H}_{{n}} −{n} \\ $$$${and}\:\sum_{{k}=\mathrm{1}} ^{{n}} \:{H}_{{k}} ^{\mathrm{2}} \:=\left({n}+\mathrm{1}\right){H}_{{n}} ^{\mathrm{2}} \:−\left(\mathrm{2}{n}+\mathrm{1}\right){H}_{{n}} \:+\mathrm{2}{n} \\ $$

Terms of Service
Privacy Policy
Contact: info@tinkutara.com