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Find the sum of the series 1.n+2.(n-1)+3.(n-2)+..........n.1

Find the sum of the series 


1.n+2.(n-1)+3.(n-2)+..........n.1

Grade:12

1 Answers

Pratik Tibrewal
askIITians Faculty 37 Points
8 years ago
the r th term will be r(n-r+1)

it is summation of r(n-r+1) where r varies from 1 to n;

SUM ( (n+1)r - r^2 ) = (n+1)(n)(n+1)/2 - (n)(n+1)(2n+1)/6

Thanks and Regards,
Pratik Tibrewal
askiitians Faculty
Btech IITG

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