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2025 AMC 10AProblem 5P1-10~3 minPrint
Sequences & SeriesBasic CountingSet up the equation/formula and compute; no special trick neededCompute small cases, spot the pattern, generalize

Consider the sequence of positive integers

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,…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,\dots

What is the 20252025 th term in this sequence?

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Problem © Mathematical Association of America (MAA), American Mathematics Competitions. Reproduced for non-commercial educational use. Solution and commentary are original to this site.