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Category: Coordinate Geometry

what-is-the-sum-of-1-14-1-35-1-65-1-104-

Question Number 95145 by i jagooll last updated on 23/May/20 whatisthesumof114+135+165+1104+? Answered by bobhans last updated on 23/May/20 $$\mathrm{S}\:=\:\underset{\mathrm{n}\:=\:\mathrm{1}} {\overset{\infty} {\sum}}\left(\frac{\mathrm{2}}{\left(\mathrm{3n}+\mathrm{1}\right)\left(\mathrm{3n}+\mathrm{2}\right)}\right)\:=\:\frac{\mathrm{2}}{\mathrm{3}}\:\underset{{x}\rightarrow\infty}…