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sum of product of 1 st n natural numbers taken 2 at a time

sum of product of 1st n natural numbers taken 2 at a time
 

Grade:12

1 Answers

Jayakrishna Natarajan
39 Points
6 years ago
the expansion of (a1+a2+a3+......an)2.... is equal to a12+a22+.....an2+2*(The required answer)
Therefore  [n*(n+1)/2]= n*(n+1)*(2n+1)/6 + 2*(The required answer)
Therefore the required answer is [{(n*(n+1))/2}- {(n*(n+1)*(2n+1))/6}] whole divided by 2

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