Question: We say that an integer a is divisible by another integer b if and only if there exists some 3^rd integer c such that a

 We say that an integer a is divisible by another integer

We say that an integer a is divisible by another integer b if and only if there exists some 3^rd integer c such that a = bc. For example, 100 is divisible by 4 because 100 = 4(25), but 100 is not divisible by 7 because 100 = 7c has a non-integer solution. Prove, by induction, that 5^n - 1 is divisible by 4 for all n greaterthanorequalto 1

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