To find the next number in the series 3, 4, 6, 7, 9, 10, we can start by looking at the differences between consecutive numbers:
- 4 – 3 = 1
- 6 – 4 = 2
- 7 – 6 = 1
- 9 – 7 = 2
- 10 – 9 = 1
From this, we observe a pattern in the differences: +1, +2, +1, +2, +1. Following this pattern, after 10, we would add 2, which gives us:
10 + 2 = 12
So, the next number in the series is 12.