Pre-Calc Homework Solutions 453

Pre calc homework solutions 453

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Unformatted text preview: Appendix A3 (b) Step 1: The formula holds for n 1, because 1 453 s Appendix A3 (pp. 584592) 1. a 4 9 k 1 (ak (ak 1 bk) i k 1 ak bk k 1 i 1 a1 i b1 . c 1 2 b x 4 7 Step 2: Suppose (ak k 1 i 1 bk ) k 1 ak bk. Then k 1 k 1 bk) k 1 i 1 k 1 ak i k 1 i (ak k 1 i bk) ai 1 (ai bi 1 bi 1) 1 Step 1: x Step 2: bk 1 2 1 2 4 9 c 3 1 x 2 4 9 x 1 2 1 2 1 2 1 2 1 . 18 4 7 1 . 14 ak bk. k 1 i 1 1 , or 18 The value of 2. a 2.7591 which assures x 4 is the smaller value, 7 b x The mathematical induction principle now guarantees the original formula for every positive integer n. x (c) Step 1: The formula holds for n 1, because 3.2391 k...
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This note was uploaded on 10/05/2011 for the course MAC 1147 taught by Professor German during the Spring '08 term at University of Florida.

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