What number comes next in the series? 7,9,13,21,37, ____?
- 65
- 67
- 69
- None of these
Explanation
The pattern involves differences between consecutive terms:
9 - 7 = 2
13 - 9 = 4
21 - 13 = 8
37 - 21 = 16
The differences follow a sequence: 2, 4, 8, 16... (doubling each time).
Next difference = 16 × 2 = 32.
Next term = 37 + 32 = 69.
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