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MATH / Suelyn counts up from 1 to 9, and then immediately counts down again to 1, and…

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problem

Suelyn counts up from 1 to 9, and then immediately counts down again to 1, and then back up to 9, and so on, alternately counting up and down (1,2,3,4,5,6,7,8,9,8,7,6,5,4,3,2,1,2,3,4,…).(1, 2, 3,4,5,6,7,8,9,8,7,6,5,4,3,2,1,2,3,4,\ldots ). What is the 1000th1000^{\text{th}} integer in her list?
Plain-text mathematical notation (without MathML)
Suelyn counts up from 1 to 9, and then immediately counts down again to 1, and then back up to 9, and so on, alternately counting up and down (1,2,3,4,5,6,7,8,9,8,7,6,5,4,3,2,1,2,3,4,…). What is the 1000^(th) integer in her list?
Original LaTeX notation
Suelyn counts up from 1 to 9, and then immediately counts down again to 1, and then back up to 9, and so on, alternately counting up and down $$(1, 2, 3,4,5,6,7,8,9,8,7,6,5,4,3,2,1,2,3,4,\ldots ).$$ What is the $1000^{\text{th}}$ integer in her list?

level

Level 2

type

Counting & Probability

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