Question 254339: All the odd numbers smaller than 100?
Answer by drk(1908)   (Show Source):
You can put this solution on YOUR website! DId you want the sum of all the odds less than 100? If so,
the sum of 1 = 1 1^2
the sum of 1 and 3 = 4 = 2^2
the sum of 1,3,5 = 9 = 3^2
the sum of 1,3,5,7 = 16 = 4^2
the sum of 1,3,5,7,9 = 25 = 5^2
at this point we see that the sum of n odds is n^2.
Now, 99 is the 50th odd number,
the sum of 1,3,5,7, . . . 95,97,99 = 50^2 = 2500
Hope that is what you wanted.
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