Exercise 6.6. Let the inductive set be equal to all natural numbers, N. Prove the following propositions. (a) Vn, 2n ≥ 1 + n. (b) Vn, 4 - 1 is divisible by 3. (c) Vn, 3n 1+2n. (d) Vn, 2¹ +2²+...+2n = 2n+1 -2.

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