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