To find the missing number in the series 24, 28, 30, 34, ..., we will analyze the given sequence to identify the pattern:
- The first difference between the numbers is calculated as follows:
- 28 - 24 = 4
- 30 - 28 = 2
- 34 - 30 = 4
- We notice that the differences are alternating: 4, 2, 4.
- Based on this pattern, we expect the next difference to be 2.
- Adding 2 to the last number in the series gives us:
- This means the next number in the series is 36.
Therefore, the missing number is 36.
Let's verify our pattern with the sequence completed with the missing number:
- 24, 28 (difference: 4),
- 30 (difference: 2),
- 34 (difference: 4),
- 36 (difference: 2).
The pattern holds, confirming that the correct missing number is 36.