The number that should replace the question mark in the series 132 156 ? 210 240 272 is 182.
Here's a breakdown of how the series is constructed, as per the reference:
Analysis of the Number Series
The series follows a pattern of adding increasing even numbers to each subsequent term:
| Step | Calculation | Result |
|---|---|---|
| 1 | Starting number | 132 |
| 2 | 132 + 24 | 156 |
| 3 | 156 + 26 | 182 |
| 4 | 182 + 28 | 210 |
| 5 | 210 + 30 | 240 |
| 6 | 240 + 32 | 272 |
Explanation:
- The difference between 132 and 156 is 24.
- Following the pattern, the next difference should be 26. Therefore, 156 + 26 = 182.
- The difference between 182 and 210 should be 28, which holds true (182 + 28 = 210).
- The difference between 210 and 240 is 30 (210 + 30 = 240).
- Finally, the difference between 240 and 272 is 32 (240 + 32 = 272).
Conclusion
By observing this pattern of adding consecutively increasing even numbers, we can see that 182 fits perfectly into the sequence. This matches the information provided by the reference that suggests 182 is the next number.
