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MATH / John counts up from 1 to 13, and then immediately counts down again to 1, and…

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problem

John counts up from 1 to 13, and then immediately counts down again to 1, and then back up to 13, and so on, alternately counting up and down: \begin{align*} &(1, 2, 3,4,5,6,7,8,9,10,11,12,13,\\ &\qquad\qquad12,11,10,9,8,7,6,5,4,3,2,1,2,3,4,\ldots ). \end{align*} What is the 5000th5000^{\text{th}} integer in his list?
Plain-text mathematical notation (without MathML)
John counts up from 1 to 13, and then immediately counts down again to 1, and then back up to 13, and so on, alternately counting up and down: \begin{align*}
&(1, 2, 3,4,5,6,7,8,9,10,11,12,13,\\
&\qquad\qquad12,11,10,9,8,7,6,5,4,3,2,1,2,3,4,\ldots ).
\end{align*} What is the 5000^(th) integer in his list?
Original LaTeX notation
John counts up from 1 to 13, and then immediately counts down again to 1, and then back up to 13, and so on, alternately counting up and down: \begin{align*}
&(1, 2, 3,4,5,6,7,8,9,10,11,12,13,\\
&\qquad\qquad12,11,10,9,8,7,6,5,4,3,2,1,2,3,4,\ldots ).
\end{align*} What is the $5000^{\text{th}}$ integer in his list?

level

Level 5

type

Prealgebra

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Source and history

task_id
20994382-3137-594f-b322-c9e19e281634
task_key
prealgebra--test--20994382-3137-594f-b322-c9e19e281634
task_revision_id
1
config / split
prealgebra / test

Official source

initial import