Consider the Sequence Built by the Following Rule$A _ { 1 } = 1 , A _ { 2 } = 0 , A _ { n + 1 } = A _ { n } + \frac { A _ { n - 1 } } { 2 } \text { for } n \geq 2$

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The Answer of Consider the Sequence Built by the Following Rule$A _ { 1 } = 1 , A _ { 2 } = 0 , A _ { n + 1 } = A _ { n } + \frac { A _ { n - 1 } } { 2 } \text { for } n \geq 2$

Consider the Sequence Built by the Following Rule $A _ { 1 } = 1 , A _ { 2 } = 0 , A _ { n + 1 } = A _ { n } + \frac { A _ { n - 1 } } { 2 } \text { for } n \geq 2$

Definitions:

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 2A1​=1,A2​=0,An+1​=An​+2An−1​​ for n≥2

Definitions:

Consider the Sequence Built by the Following Rule $A _ { 1 } = 1 , A _ { 2 } = 0 , A _ { n + 1 } = A _ { n } + \frac { A _ { n - 1 } } { 2 } \text { for } n \geq 2$