Q: What is the sum of the first 60 consecutive odd numbers?

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The sum of two odd numbers is even and the sum of an even number and an odd number is odd.So the sum of three consecutive odd numbers is odd but 270 is even.Ergo there are no three consecutive odd numbers that sum to 270.Three consecutive numbers that sum to 270 are 89, 90, 91.Three consecutive even numbers that sum to 270 are 88, 90, 92.

1620900

5625

4225

9025

7225

123975

490,000

The sum of the first 950 consecutive odd numbers is 902,500. This is actually a very easy calculation. To determine the sum of any number of consecutive odd numbers beginning with the number 1, simply square the number. In your case, 950 squared is 902,500.

It is 702 = 4900

Consecutive whole numbers will have an odd sum. Consecutive odd numbers, or consecutive prime numbers, will be 29 and 31.