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1. Use induction to prove the following statements: (a) 6n1 is divisible by 5 for all positive integers n. (b) 5n+3n22n+1 for all positive integers

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1. Use induction to prove the following statements: (a) 6n1 is divisible by 5 for all positive integers n. (b) 5n+3n22n+1 for all positive integers n. Hint: Try to get your inductive step into the form 4(5k+3k)+f(k), for some arithmetic formula f(k)

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