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3. Let a be an integer different than 1. Prove, by induction, that for any neN, q"-1 is divisible by a-1.
3. Consider the following recursively defined sequence: 4 = aut = : (n + 2) (for neN) . Prove, by induction, that an for all neN.
3. Prove that for all neN, 4n 12 + 32 +52 +...+(2n - 1)2 = 3 - n
