1. Write each of the following sums without using [ and evaluate.
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.
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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