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2025 AMC 10A Question 5

AMC10 · 2025 AMC 10A

Question 5

Consider the sequence of positive integers

$$
\begin{gathered} 1, 2, 1, 2, 3, 2, 1, 2, 3, 4, \\ 3, 2, 1, 2, 3, 4, 5, 4, 3, 2, \\ 1, 2, 3, 4, 5, 6, 5, 4, 3, 2, \\ 1, 2, \ldots \end{gathered}
$$

What is the $2025$th term in this sequence?
  1. $5$
  2. $15$
  3. $16$
  4. $44$
  5. $45$