Two Arithmetic Sequences Common Term

1675AdeptCombinatoricsAlgebraNumber Theory

AMC 10B · 2004 · Problem 21

Let $1$; $4$; $\ldots$ and $9$; $16$; $\ldots$ be two arithmetic progressions. The set $S$ is the union of the first $2004$ terms of each sequence. How many distinct numbers are in $S$?

Answer choices

3722

3732

3914

3924

4007

0 students attempted0% solvedRating 1675

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