# 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≥ 3 by using the relation

Fn= Fn-1 + Fn-2 for n ≥ 3

Application of mathematical Induction

Prove that

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

#### Solution Summary

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