Proof that ∑2^(n-1) = 2^n - 1 with Mathematical Induction - YouTube
![lim [n 2 -n+1/n 2 -n-1] n(n-1) n_# # is infinity - askIITians](https://files.askiitians.com/cdn1/cms-content/common/www.askiitians.comonlinetestforumsimages241-1174_capture.png.jpg "lim [n 2 -n+1/n 2 -n-1] n(n-1) n_# # is infinity - askIITians")
lim [n 2 -n+1/n 2 -n-1] n(n-1) n_# # is infinity - askIITians
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If the n^{th} term a_n of a sequence is given by a_n=n^2-n+1, write down its first five terms.
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Prove by Induction: 1^2 + 2^2 + 3^2 + 4^2 +…+ n^2 = (n(n+1)(2n+1))/6
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Prove by Induction: 1^2 + 2^2 + 3^2 + 4^2 +…+ n^2 = (n(n+1)(2n+1))/6
