Question Number 123370 by Dwaipayan Shikari last updated on 25/Nov/20
$$\frac{\sqrt{\mathrm{1}}}{\mathrm{1}}+\frac{\sqrt{\mathrm{2}}}{\mathrm{5}}+\frac{\sqrt{\mathrm{3}}}{\mathrm{10}}+\frac{\sqrt{\mathrm{4}}}{\mathrm{17}}+\frac{\sqrt{\mathrm{5}}}{\mathrm{37}}+... \\ $$
Commented by MJS_new last updated on 25/Nov/20
$$\mathrm{1},\:\mathrm{5},\:\mathrm{10},\:\mathrm{17},\:\mathrm{37}??? \\ $$$$\mathrm{I}\:\mathrm{think}\:\mathrm{it}\:\mathrm{should}\:\mathrm{be}\:\Sigma\:\frac{\sqrt{{n}}}{{n}^{\mathrm{2}} +\mathrm{1}}\:? \\ $$
Commented by Dwaipayan Shikari last updated on 25/Nov/20
$${Yes}\:{sir}! \\ $$