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3. PROOF BY INDUCTION (a) Prove that for for every natural number n, the last digit of 6 is either 4 or 6. (b)

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3. PROOF BY INDUCTION (a) Prove that for for every natural number n, the last digit of 6" is either 4 or 6. (b) Prove that for any natural number n we have 12+2+3+...+n == (c) Prove that for any natural number n we have 1 1 + + 1 1.2 2.3 3.4 1 n n +...+ = n. (n+1) n+1 (d) Prove that for any natural number n we have 1 1 1 1 + + + + 3". n

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