CalculusChallengeInfinite Sequences and Series ShareInfinite Sequences and Series · Challenge problemA sequence satisfies the Fibonacci recursion F1=F2=1F_1=F_2=1F1=F2=1, Fn+2=Fn+1+FnF_{n+2}=F_{n+1}+F_nFn+2=Fn+1+Fn. For what value of r>1r>1r>1 does ∑n=1∞Fnrn=411\displaystyle\sum_{n=1}^{\infty}\dfrac{F_n}{r^n}=\dfrac{4}{11}n=1∑∞rnFn=114?Check Show answer Walk through it step by step Practice more like this Review this concept