What is the sum of all the odd numbers from 1 to 179?

Sum of all the odd numbers from 1 to 179

To calculate the sum of all the odd numbers from 1 to 179, we simply add up all the odd numbers from 1 up to 179.

When we add up 1 + 3 + 5 ... all the way to 179, we get the following answer:

8100

What we find interesting is that when you add up all the odd numbers from 1 to any number, the sum will always be a perfect square.

The sum of odd numbers from 1 to 179 is no exception. To prove that the result is a perfect square, the square root of the result above should be an integer (whole number), which it is:

√8100 = 90

To summarize, the sum of all the odd numbers from 1 to 179 is 8100 and the sum is a perfect square.

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Sum of all the odd numbers from 1 to 180
Another sum of odd numbers we have calculated.