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1-1-2-5-3-10-4-17-5-37-




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

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