Fibonacci sum

Calculus Level 4

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

Find the sum above, where \(F_n\) is the \(n^{\text{th}}\) Fibonacci number that is \(F_0 = 0\), \(F_1 = 1\) and \(F_n = F_{n-1} + F_{n-2}\) for \(n \geq 2\).

×

Problem Loading...

Note Loading...

Set Loading...