# Question about Fibonacci numbers: F 2n+1 - Fn Fn+2 = (-1) n

Application of Mathematical Induction

Application of Mathematical Induction

Fibonacci Numbers :- The Fibonacci numbers are numbers that has the following properties.

If Fn represents the nth Fibonacci number,

F1 = 1, F2 =1, F3 =2, F4=3, F5 = 5 etc.

We can find the Fibonacci numbers which are&#8805; 3 by using the relation

Fn= Fn-1 + Fn-2 for n &#8805; 3

Application of mathematical Induction

Prove that
F 2n+1 - Fn Fn+2 = (-1) n

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This solution is comprised of a detailed explanation of the application of Mathematical Induction. It contains step-by-step explanation for solving the equation of the Fibonacci numbers: F 2n+1 - Fn Fn+2 = (-1) n

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Thokchom Sarojkumar Sinha, MSc

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BSc, Manipur University
MSc, Kanpur University

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