please answer both question i fullthank you sincerely !Ĵ7. Prove: For neN and F, the nth Fibonacci number,Ĉ(1) + (7¹) + (^²)+(³) +--+ ( ) = ²= Fn+11238. Let p₁ and p2 be two numbers. Define q, for i 21 and p, for i 23 using the Division Lemma.That is, Pi-2 =9-2Pi-1+p₁. It turns out that pip2 = E-19 P+1. Pick specific values for p₁ andP2 (not relatively prime, and not one the multiple of the other) and draw a picture to explain thisresult.

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Answered: 7. Prove: For neN and F, the nth…

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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7. Prove: For neN and F, the nth Fibonacci number, =Fn+1 (1) + (7¹) + ("z ²) + (~³²) +--+ (0) = ² 2 n