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2014 AMC 10A Problem 24

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2014 AMC 10A Problem 24AMC 10 Step by Step

Name: Date: September 13, 2026

Sequences & Series · difficulty 4 of 5 · about 6 min · position P21-25

A sequence of natural numbers is constructed by listing the first $4$ , then skipping one, listing the next $5$ , skipping $2$ , listing $6$ , skipping $3$ , and, on the $n$ th iteration, listing $n+3$ and skipping $n$ . The sequence begins $1,2,3,4,6,7,8,9,10,13$ . What is the $500,000^{\text{th}}$ number in the sequence?

A)
$996,506$
B)
$996,507$
C)
$996,508$
D)
$996,509$
E)
$996,510$

2014 AMC 10A Problem 24

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