Question: QUESTION 11. [4 POINTS] Let 01, 02, 03,... be a sequence of real numbers defined by the recurrence below: 01:=1 for each integer n 2

QUESTION 11. [4 POINTS] Let 01, 02, 03,... be a sequence of real numbers defined by the recurrence below: 01:=1 for each integer n 2 2, On = San-1 + 5 Using a Proof by Induction prove that, for all integers n > 1, the nth te sequence equals -18 - 2-" + 10. That is, prove the following statement P(n) holds true for all integers n > P(n) : an = -18 . 2 " + 10 Important: Include all relevant details in your proof. If variables appear in yo indicate what they represent. Clearly indicate your Induction Hypothesis a it is used in the proof of your Induction Step

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