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1. Write each of the following sums without using [ and evaluate. j=.3/+2 2. Use mathematical induction to prove the truth of each of the following assertions for all n 1. a) n° + 2n is divisible by 3 b) 51 - 1 is divisible by 4 3. Use mathematical induction to establish the following formula. Fn i2 4. Give recursive definitions of each of the following sequences: a) 5, 3, 1, -1, -3, b) 1, 2, O, 3, 1, 4, 2,

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