Final answer:
To find the maximum number of consecutive odd positive integers that can be added together before the sum exceeds $401, start with the smallest odd positive integer and continue adding until the sum exceeds $401.
Step-by-step explanation:
To find the maximum number of consecutive odd positive integers that can be added together before the sum exceeds $401, we need to start adding odd positive integers until the sum is greater than $401. Let's start with the smallest odd positive integer, which is 1. Then we add the next odd positive integer, which is 3. We continue this process until the sum exceeds $401. Here is the step-by-step calculation:
- 1+3 = 4
- 4+5 = 9
- 9+7 = 16
- 16+9 = 25
- ... (continue adding odd positive integers until the sum exceeds $401)
The maximum number of consecutive odd positive integers that can be added together before the sum exceeds $401 is ....