What comes next in the sequence: 0, 3, 8, 15, 24, 35?

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The sequence given is: 0, 3, 8, 15, 24, 35. To determine the next number, we first need to analyze the pattern in the increments of the numbers.

Let’s look at the differences between consecutive terms:

  • 3 – 0 = 3
  • 8 – 3 = 5
  • 15 – 8 = 7
  • 24 – 15 = 9
  • 35 – 24 = 11

So the differences between the consecutive terms are: 3, 5, 7, 9, 11. We can see that these differences themselves increase by 2 each time.

If we continue this pattern, the next difference after 11 would be 13.

Now, we can add this difference to the last term in the original sequence:

35 + 13 = 48

Thus, the next number in the sequence is 48.

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