In each of 10.-16, prove each of the statements using Mathematical Induction (1x2) + (2x3) +...

 

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In each of 10.-16, prove each of the statements using Mathematical Induction (1x2) + (2x3) + (3x4) + ... + (Nx(N+1)) = N(N+1)(N+2)/3, for N≥ 1 1(1!) + 2(2!) + 3(3!) +...+ N(N!) = (N+1)! - 1, for N≥ 1 1³ + 2³ +33 + ... + N³ = [N(N+1)/2]², for N≥ 1 10. 11. 12. In each of 10.-16, prove each of the statements using Mathematical Induction (1x2) + (2x3) + (3x4) + ... + (Nx(N+1)) = N(N+1)(N+2)/3, for N≥ 1 1(1!) + 2(2!) + 3(3!) +...+ N(N!) = (N+1)! - 1, for N≥ 1 1³ + 2³ +33 + ... + N³ = [N(N+1)/2]², for N≥ 1 10. 11. 12.