Let {an}∞n=1 be a sequence such that a1=1,a2=1 and an+2=2an+1+an for – InterviewSolution

1.	Let {an}∞n=1 be a sequence such that a1=1,a2=1 and an+2=2an+1+an for all n≥1. Then the value of 47∞∑n=1an23n is equal to
Answer» Let ${a_{n}}_{n}^{\infty}$ be a sequence such that $a_{1} = 1, a_{2} = 1$ and $a_{n + 2} = 2 a_{n + 1} + a_{n}$ for all $n \geq 1.$ Then the value of $47 \infty \sum n = 1 \frac{a_{n}}{2^{3 n}}$ is equal to

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