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Identify the next number in the sequence: 1, 4, 10, 19, 31, ___.50404645

Question

Identify the next number in the sequence: 1, 4, 10, 19, 31, ___.50404645

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Solution

The next number in the sequence is 46.

Here's how you can find it:

  1. Look at the differences between consecutive numbers: 4 - 1 = 3 10 - 4 = 6 19 - 10 = 9 31 - 19 = 12

  2. Notice that these differences (3, 6, 9, 12) are increasing by 3 each time.

  3. So, the next difference should be 12 + 3 = 15.

  4. Add this difference to the last number in the original sequence: 31 + 15 = 46.

So, 46 is the next number in the sequence.

This problem has been solved

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