Let T (n) = n k=0 (1) k n k . (a) Use Pascals Triangle to compute T (n) for n = 1, 2, 3

Chapter 0, Problem 18

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Let T (n) = n k=0 (1) k n k . (a) Use Pascals Triangle to compute T (n) for n = 1, 2, 3, 4. (b) Prove that T (n) = 0 for all n 1. Hint: Expand (a + b)n and

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