Final answer:
To find the 42nd number in the given repeating pattern, divide 42 by 4 to find the number of complete repetitions and determine the position within the repetition. The 42nd number is the same as the 2nd number in the pattern, which is 5.
Step-by-step explanation:
The given repeating pattern is: 2, 5, 8, 3, 2, 5, 8, 3, ...
To find the 42nd number in the pattern, we need to determine the pattern's length. Since the given pattern has 4 numbers, we can divide 42 by 4 to determine the number of complete repetitions: 42 ÷ 4 = 10 remainder 2. This means there are 10 complete repetitions of the pattern, and we are in the 2nd position of the 11th repetition.
Since 10 complete repetitions of the pattern gives us 10 groups of 4 numbers, we can look at the 2nd number in the pattern, which is 5, to find the 42nd number. Therefore, the 42nd number in the given repeating pattern is 5.
Answer:
5
2, 5, 8, 3, |2, 5, 8, 3|2, 5, 8, 3, |2, 5, 8, 3| 2, 5, 8, 3, 2, 5, 8, 3 | 2 5, 8, 3, |2, 5, 8, 3 |2, 5, 8, 3,| 2, 5, 8, 3
2, 5⁴², 8, 3,
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