Question

F22 = 17,711 and F24 = 46,368, what is F23​

Answer 1

Step-by-step explanation:

Given:

$F22=17711$

$F24=46368$

To find:

Fibonacci of $23$ $(F23)$.

Solution:

• Fibonacci of a number is defined as each number in the sequence is the sum of the two numbers that precede it.
• So the sequence goes like $0,1,1,2,3,5,8,13,21,34$$,$ and so on.

The Fibonacci sequence formula is,

$F_{n}=F_{n-1}+F_{n-2}$

We want to find Fibonacci of 23. But here the given Fibonacci numbers are 22 and 24. So the formula can be written as follows,

$F_{n}=F_{n+1}-F_{n-1}$

⇒ $F_{23}=F_{23+1} -F_{23-1}$

   $F_{23}=F_{24} -F_{22}$

   $F_{23}=46368-17711$

   $F_{23}=28657$

Hence the value of $F_{23}$ is $28657$.