The missing number in the series 5, 6, 9, 14, 21 is 30. The reference states that the series follows a pattern based on the sum of consecutive odd numbers, leading to the complete sequence: 5, 6, 9, 14, 21, 30.
Explanation of the Series
The series can be explained by looking at the differences between consecutive numbers:
| Term | Value | Difference |
|---|---|---|
| 1 | 5 | |
| 2 | 6 | 6-5 = 1 |
| 3 | 9 | 9-6 = 3 |
| 4 | 14 | 14-9 = 5 |
| 5 | 21 | 21-14 = 7 |
| 6 | 30 | 30-21 = 9 |
As demonstrated above, the differences between the numbers are consecutive odd numbers. Therefore, the series follows the pattern indicated in the reference.
