Let Fn denotes the nth Fibonacci number, where F1 = F2 =1. Which of the following is true about Fn?O (Fn )(Fn+3)= (Fn+1 )(Fn+2).O If n is an even number then F3n is even.O Fn+2 = 3Fn - Fn-2 for n > 2.O Fn+3 = 5Fn - 2Fn-2, for n > 2.

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Answered: Let Fn denotes the nth Fibonacci…

Advanced Engineering Mathematics

10th Edition

ISBN:9780470458365

Author:Erwin Kreyszig

Publisher:Erwin Kreyszig

Chapter2: Second-order Linear Odes

Section: Chapter Questions

Problem 1RQ

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Let Fn denotes the nth Fibonacci number, where F1 = F2 =1. Which of the following is true about Fn? O (Fn X(Fn+3)= (Fn+1 )(Fn+2). If n is an even number then F3n is even. O Fn+2 = 3Fn - Fn-2 for n > 2. O Fn+3 = 5Fn - 2Fn-2, for n > 2.