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, mis equale(mu) 10 Let P(n) be the statement 1323 33 Let Pin, be the state ment 1, . 2.3. n3 is equal to for

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, mis equale(mu) 10 Let P(n) be the statement 1323 33 Let Pin, be the state ment 1, . 2.3. n3 is equal to for any positive integer n Prove this using mathematical induction (which is done in parts below). [6 points] (a) What is the basis step? Prove this. [1 point (b) What is the inductive hypothesis? [1 point] (c) What is the inductive step? Prove this, and state your assumptions. [4 points] (d) Explain why these steps show that this formula is true for positive integers. [2 points]

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