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Unformatted text preview: b,d,e ) is an ordered triple of elements of S , whose entries are distinct. However ( b,b,e ) does not have distinct entries. 2. (1 point) Prove that, if n is a natural number, and n 4, then n 2 5 n7. 3. (2 points) Let A n be the sequence dened by the following: Let A = 1. For all positive integers n , let A n = 3 A n1n . Prove that, for every natural number n , A n 3 nn 2 . 4. (2 points) Let N be the (large) positive integer: N = 3 3 7 3 11 7 . How many numbers between 1 and N (inclusive) are factors of N ?...
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 Fall '08
 Weissman
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