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Find the sum of n terms, 1+4+9+16+...+n² I stumbled upon a problem in physics where I had to figure it out.

Find the sum of n terms,
 
1+4+9+16+...+n²
 
I stumbled upon a problem in physics where I had to figure it out.

Grade:12

2 Answers

Arun
25750 Points
5 years ago
Dear student
 
Just remember this formula that
 
1²+ 2² + 3² + 4² + 5² +........+ n² = n (n+1)(2n+1) /6
 
Hope it helps
 
Regards
Arun (askIITians forum expert)
Abhishek Dogra
14 Points
5 years ago
Please post a proof for this formula. Because otherwise it would just get skipped from my head within a few days if I didn't know from where this formula came... Sir please do me this favour...

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