Track / Stage 4 / 91 of 340 #351 of 2000

Problem 351

AMC 12 late, AIME early

Number theory Difficulty 4.7 Find the answer

2. The sequence $1,1,2,2,2,2,2, \cdots, k, k, \cdots, k, \cdots$ , where each positive integer $k$ appears $3 k-1$ times. Then the 2004th term of this sequence is $\qquad$

Your answer

Official solution

(Answer: 37)

Source: NuminaMath-1.5, licensed Apache-2.0. Statement and solution reproduced as published; topic, difficulty and ordering added by this site.