Prove that the fourth power of any integer has one of the forms 5k or5k + 1, where k is an integer.

# Prove that the fourth power of any integer has one of the forms 5k or5k + 1, where k is an integer.

Chapter8: Sequences, Series,and Probability

Section8.4: Mathematical Induction

Problem 5ECP

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Prove that the fourth power of any integer has one of the forms 5k or

5k + 1, where k is an integer.

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