## IMO $2017$ P$1$

Discussion on International Mathematical Olympiad (IMO)

### IMO $2017$ P$1$

For each integer $a_0 > 1$, define the sequence $a_0, a_1, a_2, \ldots$ for $n \geq 0$ as
$$a_{n+1} = \begin{cases} \sqrt{a_n} & \text{if } \sqrt{a_n} \text{ is an integer,} \\ a_n + 3 & \text{otherwise.} \end{cases}$$
Determine all values of $a_0$ so that there exists a number $A$ such that $a_n = A$ for infinitely many values of $n$.

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### Re: IMO $2017$ P$1$

Anyone??
Katy729

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Joined: Sat May 06, 2017 2:30 am

### Re: IMO $2017$ P$1$

Katy729

Posts: 31
Joined: Sat May 06, 2017 2:30 am