Advanced Engineering Mathematics
Advanced Engineering Mathematics
10th Edition
ISBN: 9780470458365
Author: Erwin Kreyszig
Publisher: Wiley, John & Sons, Incorporated
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Question
State the Principle of Complete Induction (PCI) and use it to prove the following statement (do not directly refer to any assignment problem): If Fibonacci-1 numbers fn are given by f₁ = f2 = 1, fn = fn-1 + fn-2 for n ≥3 and Fibonacci-2 numbers gn given by 91 = 92 = 2, 9n = 9n-19n-2 for n ≥ 3, then √gn = 21/2 for all n € N.
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Transcribed Image Text:State the Principle of Complete Induction (PCI) and use it to prove the following statement (do not directly refer to any assignment problem): If Fibonacci-1 numbers fn are given by f₁ = f2 = 1, fn = fn-1 + fn-2 for n ≥3 and Fibonacci-2 numbers gn given by 91 = 92 = 2, 9n = 9n-19n-2 for n ≥ 3, then √gn = 21/2 for all n € N.
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