We see an easy divisibility proof using induction. Mathematic induction is a tremendously useful proof technique and today we use it to prove that 7^n - 1 is divisible by 6. This is an exercise from Introductory Discrete Mathematics by V.K. Balakrishnan.
Lesson on Induction: [ Ссылка ]
A classic induction proof: [ Ссылка ]
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