3. Use Mathematical Induction to prove that 4 + 10 + 18 + ... + n (n + 3) = [n .. (n + 1) (n +5)] /3 for n e Z+

Using induction, prove that 5 6(2n) – 1 for n = 1, 2, 3, ..

| 3. Use induction to prove that n2 – n is always even. -

1. Use mathematical induction to prove (for all integers n > 0): P(n): 1+ 3 + 6 + + n(n+1)/2 = n(n+1) (n+2)/6 2. Use mathematical induction to prove (for all integers n > 0): P(n): 1*1! + 2*2! + + n*n! = (n+1)! 1 Submit a photo of your work to this assignment before the due date.