Prove by mathematical induction each of the following identities: 1+2+3+...+ n = (a) bin (b) (c)...

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Prove by mathematical induction each of the following identities: 1+2+3+...+ n = (a) bin (b) (c) (d) (e) r 1² +2²+3²+...+n² 1·2+2.3+3.4+...+ n(n+1) = n(n + 1)(n + 2) Bend 3 mibnog n(n+1) 2 n(n + 1)(2n +1) 6 1² +3² +5² +...+(2n-1)² = n(4n² - 1) 3 1+2.2+3.2²+...+n2"-1 (n-1)2" + 1. 1) (1 + = (J 1 + 1.3 3.5 5.7 ad brew to bolo on Insortium sa n 2n +1' PAY Jishigay 1 (2n-1)(2n + 1) +...+ Blumniol notamusen Prove by mathematical induction each of the following identities: 1+2+3+...+ n = (a) bin (b) (c) (d) (e) r 1² +2²+3²+...+n² 1·2+2.3+3.4+...+ n(n+1) = n(n + 1)(n + 2) Bend 3 mibnog n(n+1) 2 n(n + 1)(2n +1) 6 1² +3² +5² +...+(2n-1)² = n(4n² - 1) 3 1+2.2+3.2²+...+n2"-1 (n-1)2" + 1. 1) (1 + = (J 1 + 1.3 3.5 5.7 ad brew to bolo on Insortium sa n 2n +1' PAY Jishigay 1 (2n-1)(2n + 1) +...+ Blumniol notamusen

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c 12 23 nn1 nn1n2 3 n1 lhs 1 x 2 2 rhs Ihs rhs result ... View the full answer