Track / Stage 4 / 283 of 340 #543 of 1964

Problem 543

AMC 12 late, AIME early

Number theory Difficulty 4.9 Multiple choice

Starting from 1, the natural numbers with multiples of 4 removed are grouped into sets of three:
$(1,2,3),(5,6,7),(9,10,11),(13,14,15),$
$\qquad$
where 2 is the 2nd number in the 1st group, 11 is the 3rd number in the 3rd group. Following this pattern, which group and which number in the group is 2022?

Pick one

Official solution

$\frac{20}{D}$

Source: NuminaMath-1.5, licensed Apache-2.0. Statement reproduced verbatim; metadata (topic, difficulty, ordering) added by this project.