Question: Prove by induction the following proposition: Proposition: Prove that for any integer n 1, 2^(2n) 1 is divisible by 3. Hint: For the induction step,

Prove by induction the following proposition: Proposition: Prove that for any integer n 1, 2^(2n) 1 is divisible by 3. Hint: For the induction step, rewrite 2^(2(n+1)) 1 as a sum of two terms that are divisible by 3.

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