![proof verification - Prove that $1^2-2^2+3^2-…+(-1)^{n-1} n^2$=$(-1)^{n-1}\frac{ n(n+1)}{2}$ whenever n is a positive integer using mathematical induction. - Mathematics Stack Exchange proof verification - Prove that $1^2-2^2+3^2-…+(-1)^{n-1} n^2$=$(-1)^{n-1}\frac{ n(n+1)}{2}$ whenever n is a positive integer using mathematical induction. - Mathematics Stack Exchange](https://i.stack.imgur.com/c2i9b.jpg)
proof verification - Prove that $1^2-2^2+3^2-…+(-1)^{n-1} n^2$=$(-1)^{n-1}\frac{ n(n+1)}{2}$ whenever n is a positive integer using mathematical induction. - Mathematics Stack Exchange
Prove that (i) n!/r! = n(n – 1) (n – 2) …. (r + 1) (ii) (n - r + 1) n!/(n-r+1)! = n!/(n-r)! - Sarthaks eConnect | Largest Online Education Community
![proof writing - Prove for all n∈N $1^2+3^2+5^2+...+(2n-1)^2=\frac{4n^3-n}{3}$ - Mathematics Stack Exchange proof writing - Prove for all n∈N $1^2+3^2+5^2+...+(2n-1)^2=\frac{4n^3-n}{3}$ - Mathematics Stack Exchange](https://i.stack.imgur.com/gkQWr.png)