Multiple choice general knowledge math & puzzles

5, 9, 1, 2, 2, 3, 5, 9, 1, 2, 2, 3, . . . In the sequence above, the first number is 5. The sequence consists of repetitions of the six numbers 5, 9, 1, 2, 2, and 3. What is the 620th number in the sequence?

  1. 1

  2. 2

  3. 3

  4. 5

  5. 9

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E Correct answer
Explanation

The sequence repeats every 6 numbers. To find the 620th number, divide 620 by 6. The remainder is 2 (620 = 103 * 6 + 2). Therefore, the 620th number is the 2nd number in the repeating sequence, which is 9.