Question

Given the two Fibonacci numbers below, which number would follow? F(22) = 17,711 and F(23) = 28,657

Answer 1

f(24)=46368

Explanation:

Given are the two Fibonacci numbers

`F(22) = 17711 and F(23) = 28657`

We know that the Fibonacci sequence is one which has any term as the sum of previous two terms.

Hence from this we have values of 22nd and 23rd term.

24th term = sum of these two terms

F(24) = 17711+28657 = 46368

Similarly F(25) = F(24)+F(23) and so on.

Answer 2

It is given that f(22)=17,711, f(23)=28,657

As formula for fibonacci sequence is

f(n)=f(n-1)+f(n-2)

So, we can find f(24),f(25),......using the above formula.

f(24)= f(23)+f(22)

= 17,711 +28,657

= 46,368

Similarly, f(25)=f(24)+f(23),...