What is the next number in the sequence: 3, 4, 7, 13, 14, 17, 23?

To find the next number in the sequence, we first analyze the differences between consecutive numbers:

  • 4 – 3 = 1
  • 7 – 4 = 3
  • 13 – 7 = 6
  • 14 – 13 = 1
  • 17 – 14 = 3
  • 23 – 17 = 6

We can see a pattern here in the differences:

  • 1, 3, 6
  • 1, 3, 6

The pattern seems to repeat: the differences increase as follows: 1, 3, 6. After 23, we would continue the same pattern. The next expected difference after 6 would also be 1, leading us to:

  • Next Number = 23 + 1 = 24

Therefore, the next number in the sequence should be 24.

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