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The find the sum . Of the number provided above. please it will help me a lot

The find the sum . Of the number provided above. please it will help me a lot

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Grade:10

1 Answers

Aditya Gupta
2081 Points
5 years ago
nth term is n/(1+n^2+n^4)
but 1+n^2+n^4= (n^2+n+1)(n^2 – n+1)
nth term is n/(n^2+n+1)(n^2 – n+1)
[(n^2+n+1) – (n^2 – n+1)]/2(n^2+n+1)(n^2 – n+1)
so nth term can also be written as
1/2(n^2 – n+1) – 1/2(n^2+n+1)]
if 1/2(n^2 – n+1) = f(n) then f(n+1)= 1/2(n^2+n+1)
so nth term is f(n) – f(n+1), and hence the sum can be easily calculated using TELESCOPIC SUM technique :)

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