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A sequence of real numbers \((x_n) \)  is defined recursively as follows: \(x_0=a\)  and \(x_1=b\)  are positive real numbers, and

 

\(x_{n + 2} = \frac{1 + x_{n + 1}}{x_n}\)
for n = 0,1,2...  . Find the value of  \(​​​​x_{2012}\), in terms of a and b .

 
 Feb 9, 2018

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