Questions on consecutive numbers are a common feature in the ADRE exam. These problems often require you to find the smallest number, the largest number, or perform operations like multiplying them. While an algebraic approach is a reliable method, it can be time-consuming. Mastering these quick tricks and concepts will significantly reduce the time needed to solve these problems, giving you a crucial advantage.
Average and Middle Number (Odd Number of Terms)
If you have an odd number of terms (like 3, 5, or 7), the average of the series is always the exact middle number.
Average and Middle Number (Even Number of Terms)
If you have an even number of terms (like 4, 6, or 8), the average is not a number in the series. Instead, the average is the number that falls exactly between the two middle numbers.
Common Difference (CD)
- For consecutive even numbers, the common difference is 2 (example: 4, 6, 8).
- For consecutive odd numbers, the common difference is also 2 (example: 3, 5, 7).
- For consecutive integers, the common difference is 1 (example: 5, 6, 7).
