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Q: Why can you not find 2 consecutive odd numbers that have a sum of 29?

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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.

The sum of the first 60 consecutive odd numbers is 3,600.

The sum of the first 60 consecutive odd numbers is 3,600.

the sum of first 50 consecutive odd numbers is 9801

The sum of the first 600 consecutive odd numbers is 360,000.

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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.

The sum of the first 350 consecutive odd numbers is 122,500.

The sum of the first 60 consecutive odd numbers is 3,600.

The sum of the first 60 consecutive odd numbers is 3,600.

The sum of the first 30 consecutive odd numbers is 900.

the sum of first 50 consecutive odd numbers is 9801

The sum of the first 30 consecutive odd numbers is 900.

The sum of the first 600 consecutive odd numbers is 360,000.

The sum of the first 900 consecutive odd numbers is 810,000.

The sum of the first 450 consecutive odd numbers is 450 squared or 202,500.

The sum of the first 250 consecutive odd numbers is 250 squared or 62,500.

The sum of the first 1,300 consecutive odd numbers is 1,300 squared or 1,690,000.

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