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MATH / A sequence of positive integers is constructed by listing the first 4, then…

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problem

A sequence of positive integers is constructed by listing the first 4, then skipping one, listing the next 5, skipping 2, listing 6, skipping 3, and, on the nnth iteration, listing n+3n + 3 and skipping nn. The sequence begins 1, 2, 3, 4, 6, 7, 8, 9, 10, 13. What is the 500,000th number in the sequence?
Plain-text mathematical notation (without MathML)
A sequence of positive integers is constructed by listing the first 4, then skipping one, listing the next 5, skipping 2, listing 6, skipping 3, and, on the nth iteration, listing n+3 and skipping n. The sequence begins 1, 2, 3, 4, 6, 7, 8, 9, 10, 13. What is the 500,000th number in the sequence?
Original LaTeX notation
A sequence of positive integers 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 500,000th number in the sequence?

level

Level 4

type

Intermediate Algebra

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Source and history

task_id
e3b46985-d09b-51b9-b638-61489571bdda
task_key
intermediate~5falgebra--test--e3b46985-d09b-51b9-b638-61489571bdda
task_revision_id
1
config / split
intermediate_algebra / test

Official source

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