Given Series

1. Given number series: 7, 12, 19, 28, 39, ?

Question

Find the next number in the given series.

Answer

52.

Solution

1. Calculate differences between consecutive terms:
2. 12 - 7 = 5
3. 19 - 12 = 7
4. 28 - 19 = 9
5. 39 - 28 = 11
6. The differences are consecutive odd numbers: +5, +7, +9, +11.
7. The next difference should be +13.
8. Next term = 39 + 13 = 52.