Question: Use mathematical induction to prove the formula for all integers n 2 1. 2+4+6+8+ ...+2n = n(n+1) Find S, when n = 1. S, =

Use mathematical induction to prove the formula for all integers n 2 1. 2+4+6+8+ ...+2n = n(n+1) Find S, when n = 1. S, = 2 Assume that S, = 2 + 4 + 6 +8 + . .. + 2k = k(k+ 1). Then, Sk + 1 = Sk tak + 1 = (2 + 4 + 6 + 8 + . .. + 2k) + ak+ 1' ak + 1 = X Use the equation for aly , and S, to find the equation for Sk + 1. SK + 1 = Is this formula valid for all positive integer values of n? Yes O No Need Help? Read It Submit Answer 6. [-/0.64 Points] DETAILS LARCOLALG10 8.4.012. Use mathematical induction to prove the formula for all integers n 2 1. 6 + 12 + 18 + 24 + . . . + 60 = 30(n + 1) Find S, when n = 1. S, = Assume that S = 6 + 12 + 18 + 24 + . . . + 6k = 3k(k + 1). Then, Sk + 1 = Sk tak +1 = (6 + 12 + 18 + 24 + . . . + 6k) +ak + 1. ak + 1 Use the equation for a , and S, to find the equation for Sk + 1. Sk + 1 = Is this formula valid for all positive integer values of n

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