Freeflows
Counting Sequence Position
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,\\ &12,11,10,9,8,7,6,5,4,3,2,1,2,3,4,\ldots ).\end{align*} What is the $ 5000^{\text{th}} $ integer in his list?
- 1
- 2
- 3
- +
- 4
- 5
- 6
- -
- 7
- 8
- 9
- $\frac{a}{b}$
- .
- 0
- =
- %
- $a^n$
- $a^{\circ}$
- $a_n$
- $\sqrt{}$
- $\sqrt[n]{}$
- $\pi$
- $\ln{}$
- $\log$
- $\theta$
- $\sin{}$
- $\cos{}$
- $\tan{}$
- $($
- $)$
- $[$
- $]$
- $\cap$
- $\cup$
- $,$
- $\infty$