SOLUTION: Suppose in a proof of the summation formula 7 + 9 + 11 + ... + (2n + 5) = n(n + 6) by mathematical induction, you show the formula valid for n = 1 and assume that it is valid for n

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Question 1035623: Suppose in a proof of the summation formula 7 + 9 + 11 + ... + (2n + 5) = n(n + 6) by mathematical induction, you show the formula valid for n = 1 and assume that it is valid for n = k. What is the next equation in the induction step of this proof?
7 + 9 + 11 + ... + (2k + 5) + (2(k + 1) + 5) = k(k + 6) + (k + 1)(k + 1 + 6)
7 + 9 + 11 + ... + (2(k + 1) + 5) = k(k + 6)
7 + 9 + 11 + ... + (2k + 5) + (2(k + 1) + 5) = k(k + 6) + (2(k + 1) + 5)
7 + 9 + 11 + ... + (2k + 5) = k(k + 6)
Answer by robertb(5830) About Me  (Show Source):
You can put this solution on YOUR website!
7 + 9 + 11 + ... + (2k + 5) + (2(k + 1) + 5) = k(k + 6) + 2(k + 1) + 5
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