AMC 10 Step by Step
2019 AMC 10AProblem 23P21-25~7 minPrint

Travis has to babysit the terrible Thompson triplets. Knowing that they love big numbers, Travis devises a counting game for them. First Tadd will say the number 11 , then Todd must say the next two numbers ( 22 and 33 ), then Tucker must say the next three numbers ( 44 , 55 , 66 ), then Tadd must say the next four numbers ( 77 , 88 , 99 , 1010 ), and the process continues to rotate through the three children in order, each saying one more number than the previous child did, until the number 10,00010,000 is reached. What is the 20192019 th number said by Tadd?

Log in to save your progress.

Similar problems

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