Question: I'm having a hard time understanding how to approach this. can someone please help me understand. 6. [-/0.64 Points] DETAILS LARCOLALG 10 8.4.012. Use mathematical

I'm having a hard time understanding how to approach this. can someone please help me understand.

6. [-/0.64 Points] DETAILS LARCOLALG 10 8.4.012. Use mathematical induction to prove the formula for all integers n 2 1. 6 + 12 + 18 + 24 + . . . + 6n = 3n(n + 1) Find S, when n = 1. S1 = Assume that S, = 6 + 12 + 18 + 24 + . . . + 6k = 3k(k + 1). Then, Sk + 1 = Sk + ak + 1 = (6 + 12 + 18 + 24 + . . . + 6k) + ak + 1' ak+ 1 = Use the equation for ak + 1 and SK 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 It7. [-/0.7 Points] DETAILS LARCOLALG10 8.4.013. Use mathematical induction to prove the formula for all integers n 2 1. 2+ 11 + 20 + 29 + ... + (9n - 7) = (9 - 5). Find S, when n = 1. S 1 = Assume that S, = 2 + 11 + 20 + 29 + ... + (9k - 7) = (9k - 5). Then, Sk + 1 = Sk tak + 1 = (2 + 11 + 20 + 29 + ... + (9k - 7)) + ak + 1 ak+ 1 = Use the equation for ak + 1 and SK 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

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