In Exercises 21 to 30, use mathematical induction to prove each statement. For a Z -b

Chapter , Problem 8.4.28

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In Exercises 21 to 30, use mathematical induction to prove each statement. For a Z -b, show that (a + b) is a factor of a2n+1 + b2n+1,where n is a positive integer. Hint: a2k+3 + b2k+3 = (a2k+2 + b2k+2)(a + b) - ab(a2k+1 + b2k+1)

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