2015 AIME I Problems/Problem 9

Problem

Let $S$ be the set of all ordered triple of integers $(a_1,a_2,a_3)$ with $1 \le a_1,a_2,a_3 \le 10$ . Each ordered triple in $S$ generates a sequence according to the rule $a_n=a_{n-1}\cdot | a_{n-2}-a_{n-3} |$ for all $n\ge 4$ . Find the number of such sequences for which $a_n=0$ for some $n$ .

2015 AIME I (Problems • Answer Key • Resources)
Preceded by Problem 8	Followed by Problem 10
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2015 AIME I Problems/Problem 9

Problem

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