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Question Number 84783 by Power last updated on 16/Mar/20

Commented by Power last updated on 16/Mar/20

$$\mathrm{k}=3$$

Commented by Tony Lin last updated on 16/Mar/20

$$whatdoesk=3mean?$$

Commented by Power last updated on 16/Mar/20

$$\mathrm{k}\ne 1\Rightarrow \mathrm{k}=3\mathrm{instaed}\mathrm{of}\mathrm{k}=1$$

Commented by Power last updated on 16/Mar/20

$$\mathrm{please}\mathrm{see}$$

Commented by Power last updated on 16/Mar/20

$$\mathrm{sir}\mathrm{MJS}\mathrm{pls}$$

Commented by Tony Lin last updated on 16/Mar/20

$$i{don}^{\prime }tknowthequickwaytoevaluate$$$$theanswer$$$$buttheanswerisveryugly$$$$\frac{364219040265251}{13127595717600}$$$$\fallingdotseq 27.7445351$$$$itseemsthatthereisnoquickway$$$$tosolve$$$$justaddaltogether$$

Answered by mind is power last updated on 16/Mar/20

$$=\underset{k=1}{\sum ^{32}}(1-\frac{1}{k+1})$$$$=32-\underset{k=1}{\sum ^{32}}\frac{1}{k+1}=32-\underset{k=2}{\sum ^{33}}\frac{1}{k}=33-H_{33}$$

Commented by Power last updated on 16/Mar/20

$$\mathrm{thanks}{\mathrm{H}}_{33}-?$$

Commented by mind is power last updated on 16/Mar/20

$$H_n=\underset{k=1}{\sum ^n}\frac{1}{k}$$

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