The first 15 numbers of a number pattern are given below. $9, 0, 8, 6, 9, 0, 8, 6, 9, 0, 8, 6, 9, 0, 8, \dots$ What is the $274^{\text{th}}$ number?

1. Identify the repeating pattern and its length

The pattern is $9, 0, 8, 6$, which repeats every $4$ numbers.

2. Find the position of the $274^{\text{th}}$ number in the cycle

$274 \div 4 = 68 \text{ R } 2$

3. Determine the number based on the remainder

A remainder of $2$ means the $274^{\text{th}}$ number corresponds to the $2^{\text{nd}}$ number in the pattern, which is $0$.