Question Number 128371 by aliibrahim1 last updated on 06/Jan/21
Commented by MJS_new last updated on 06/Jan/21
$${A}_{{n}} =\frac{\mathrm{752}\underset{{k}=\mathrm{1}} {\overset{{n}} {\sum}}\:\frac{\mathrm{1}}{\mathrm{2}{k}−\mathrm{1}}\:−\mathrm{752}\underset{{k}=\mathrm{1}} {\overset{{n}} {\sum}}\frac{\mathrm{1}}{\mathrm{2}{k}}}{\mathrm{2}\underset{{k}=\mathrm{1}} {\overset{{n}} {\sum}}\frac{\mathrm{1}}{{n}+{k}}} \\ $$$${A}_{{n}} =\mathrm{376} \\ $$$$\left(\mathrm{just}\:\mathrm{try}\:\mathrm{the}\:\mathrm{first}\:\mathrm{few}\:{n}=\mathrm{1},\:\mathrm{2},\:\mathrm{3},\:…\:\mathrm{to}\:\mathrm{see}\right) \\ $$
Answered by MJS_new last updated on 06/Jan/21
$$\mathrm{376} \\ $$
Commented by aliibrahim1 last updated on 06/Jan/21
$${can}\:{u}\:{tell}\:{me}\:{how} \\ $$