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Question Number 128371 by aliibrahim1 last updated on 06/Jan/21

Commented by MJS_new last updated on 06/Jan/21

A_n =((752Σ_(k=1) ^n  (1/(2k−1)) −752Σ_(k=1) ^n (1/(2k)))/(2Σ_(k=1) ^n (1/(n+k))))  A_n =376  (just try the first few n=1, 2, 3, ... to see)

$${A}_{{n}} =\frac{\mathrm{752}\underset{{k}=\mathrm{1}} {\overset{{n}} {\sum}}\:\frac{\mathrm{1}}{\mathrm{2}{k}−\mathrm{1}}\:−\mathrm{752}\underset{{k}=\mathrm{1}} {\overset{{n}} {\sum}}\frac{\mathrm{1}}{\mathrm{2}{k}}}{\mathrm{2}\underset{{k}=\mathrm{1}} {\overset{{n}} {\sum}}\frac{\mathrm{1}}{{n}+{k}}} \\ $$$${A}_{{n}} =\mathrm{376} \\ $$$$\left(\mathrm{just}\:\mathrm{try}\:\mathrm{the}\:\mathrm{first}\:\mathrm{few}\:{n}=\mathrm{1},\:\mathrm{2},\:\mathrm{3},\:...\:\mathrm{to}\:\mathrm{see}\right) \\ $$

Answered by MJS_new last updated on 06/Jan/21

376

$$\mathrm{376} \\ $$

Commented by aliibrahim1 last updated on 06/Jan/21

can u tell me how

$${can}\:{u}\:{tell}\:{me}\:{how} \\ $$

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