HSC Science (Computer Science) 11thMaharashtra State Board
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Sum to N Terms of Special Series

notes

find the sum of first n terms of some special series,
i) 1 + 2 + 3 +…    + n (sum of first n natural numbers)
ii)  1^2 + 2^2 + 3^2 +… + n^2(sum of squares of the first n natural numbers)
Let us take them one by one.
i)  S_n=1 + 2 + 3 + … + n, then S_n = n(n+1)/2

ii) S_n =1^2 + 2^2 + 3^2 +… + n^2

then = (n(n+1)(2n+1))/6

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Sum to n Terms of Special Series [00:05:59]
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