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2, 5, 10, 17, 28, ?*

Question

2, 5, 10, 17, 28, ?*

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Solution

The pattern in this sequence is that each number is the result of adding a certain number to the previous one.

Here's how it works:

  • 2 + 3 = 5
  • 5 + 5 = 10
  • 10 + 7 = 17
  • 17 + 11 = 28

The difference between each pair of numbers is increasing by 2 each time (3, 5, 7, 11).

So, the next difference should be 11 + 2 = 13.

Adding this difference to the last number in the sequence:

28 + 13 = 41

So, the next number in the sequence should be 41.

This problem has been solved

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