What is the sum of all the odd numbers from 1 to 2202?

Sum of all the odd numbers from 1 to 2202

To calculate the sum of all the odd numbers from 1 to 2202, we simply add up all the odd numbers from 1 up to 2202.

When we add up 1 + 3 + 5 ... all the way to 2202, we get the following answer:

1212201

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 2202 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:

√1212201 = 1101

To summarize, the sum of all the odd numbers from 1 to 2202 is 1212201 and the sum is a perfect square.

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Sum of all the odd numbers from 1 to 2203
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