AMC 10 Step by Step
2018 AMC 10BProblem 8P1-10~3 minPrint

Sara makes a staircase out of toothpicks as shown:

figure

This is a 33 -step staircase and uses 1818 toothpicks. How many steps would be in a staircase that used 180180 toothpicks?

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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.