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Grade 12Algebra

1^4/13+2^4/35+..........+n^4/(2n-1)(2n+1).sum ??

Kitty K

13 Years agoGrade 12

1 Answer

Arun Kumar

12 Years ago

Hi
$\\\sum \frac{n^4}{(2n-1)(2n+1)} \\\sum (n^2+\frac{1}{16}+\frac{1}{16*(2n+1)(2n-1)}) \\\sum (n^2+\frac{1}{16}+\frac{1}{16*2}(\frac{1}{2n-1}-\frac{1}{2n+1})) \\=\frac{(n+1)(2n+1)n}{6}+\frac{n}{16}+\frac{1}{16*2}(1-\frac{1}{2n+1}))$
Thanks & Regards, Arun Kumar, Btech,IIT Delhi, Askiitians Faculty

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