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# A sequence of real numbers is defined recursively as follows: and are positive real numbers, and

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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 .

waffles  Feb 9, 2018