The sum of all the odd numbers from 1 to 100, inclusive
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The sum of all odd numbers is 2501
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There are 50 odd numbers from 1 to 100.
- 1, 3 5, 7, 9,
- 11, 13, 15, 17, 19 .....
50 odd numbers can be made into 25 pairs
- 50 ÷ 2 = 25
.
We can pair them, one from the front and one from the back:
- 1 and 99 = 100
- 3 and 97 = 100
- 5 and 95 = 100 ....
.
So sum of all the 25 pairs:
- 25 x 100 = 2500
.
Answer: 2500
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