Fibonacci sum

Calculus Level 4

n=1Fn2n\large \sum^{\infty}_{n=1}{\dfrac{F_n}{2^n}}

Find the sum above, where FnF_n is the nthn^{\text{th}} Fibonacci number that is F0=0F_0 = 0, F1=1F_1 = 1 and Fn=Fn1+Fn2F_n = F_{n-1} + F_{n-2} for n2n \geq 2.

×

Problem Loading...

Note Loading...

Set Loading...