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Consider the Sequence Built by the Following Rule A1=1,A2=0,An+1=An+An−12 for n≥2A _ { 1 } = 1 , A _ { 2 } = 0 , A _ { n + 1 } = A _ { n } + \frac { A _ { n - 1 } } { 2 } \text { for } n \geq 2

Question 114

Multiple Choice

Consider the sequence built by the following rule: A1=1,A2=0,An+1=An+An−12 for n≥2A _ { 1 } = 1 , A _ { 2 } = 0 , A _ { n + 1 } = A _ { n } + \frac { A _ { n - 1 } } { 2 } \text { for } n \geq 2 What is A4?A _ { 4 } ?


A) 0
B) 1/2
C) 1
D) 2

Correct Answer:

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