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A Transition to Advanced Mathematics, 8th ed. Use the PMI to prove the following for all natural numbers: (1) For every prime p , for

A Transition to Advanced Mathematics, 8th ed.

Use the PMI to prove the following for all natural numbers:

(1)For every prime p, for every natural number a, if p divides an then p divides a.

A Transition to Advanced Mathematics, 8th ed.

Use the Generalized PMI to prove the following. Then show that the equation or inequality is false for some natural number n

(1)2n 8 n2 8n + 16 for all n 6.

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