2009 AIME I Problem 13


The terms of the sequence (ai)(a_i) defined by an+2=an+20091+an+1a_{n + 2} = \frac {a_n + 2009} {1 + a_{n + 1}} for n1n \ge 1 are positive integers. Find the minimum possible value of a1+a2a_1 + a_2.


Leading zeroes must be inputted, so if your answer is 34, then input 034. Full credit goes to MAA for authoring these problems. These problems were taken on the AOPS website.

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Category: AIME I
Points: 6
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