P(n) be the statement that
a)What is the statementP(1)?
b)Show thatP(1) is true, completing the basis step of a proof that P(n) is true for all positive integersn.
c)What is the inductive hypothesis of a proof thatP(n) is true for all positive integersn?
d)What do you need to prove in the inductive step of a proof thatP(n) is true for all positive integersn?
e)Complete the inductive step of a proof thatP(n) is true for all positive integersn. identifying where you use die inductive hypothesis.
f)Explain why these steps show that this formula is true whenevernis a positive integer.
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