Let \{a_{n}\}_{n=1}^{\infty} be a sequence such that a_{1}=1, a_{2}=1and {a}_{{n}+2}=2 {a}_{{n}+1}+{a}_{{n}} for all {n} \\geq 1. Then the value of 47 \\sum_{{n}=1} ^{\infty} {{a}_{{n}}}/{2^{3 {n}}} is equal to ________. [20 Jul 2021 Shift 2]

Sequences and Series Part 2

Section: Mathematics

Question : 81 of 100

Marks: +1, -0

Let {an}n=1∞ be a sequence such that a1=1,a2=1and an+2=2an+1+an for all n≥1. Then the value of 47‌

∞

∑

n=1

23n

is equal to ________.

[20 Jul 2021 Shift 2]

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