What pair comes next in the following sequence?
99, 90, 83, 78, ...
Step-by-step Solution:
The pattern is found by looking at the differences between consecutive numbers in the series:
99 - 9 = 9090 - 7 = 8383 - 5 = 78
The amount being subtracted is a sequence of decreasing odd numbers (9, 7, 5). The value of the subtraction decreases by 2 at each step.
To find the next two numbers, we continue this pattern:
5 - 2 = 3. So, the next term is 78 - 3 = 75.3 - 2 = 1. So, the term after that is 75 - 1 = 74.
The next pair of numbers in the series is 75, 74.