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What is the maximum number of consecutive odd positive integers that can be added together before the sum exceeds $401$

User Joncom
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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. 1+3 = 4
  2. 4+5 = 9
  3. 9+7 = 16
  4. 16+9 = 25
  5. ... (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 ....

User Vik Santata
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