Mathematical problem on sequence

consider the sequence x1, x2, x3,......xn which is generated by the following rule: xn=xn-1+1 divided by xn-2 for n greater than 2.investigate the sequence formed by choosing any two numbers as x1 and x2.do the terms ever recur? Try other starting numbers. make a conjecture and try to prove it
Question asked by: takah

Asked on: 12 Mar 2012

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