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Common Answers

Have you entered September's Common Answers?

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Puzzle - Answer

What is the sum of all of the numbers from 1 to 1000?

 [Ref: ZONR]

Answer: 500,500.

It's easiest to see that the first and last number are 1 and 1000, which add to 1001.

The next two numbers we can add are 2 and 999, which add to 1001.

The next two numbers to add are 3 and 998, which add to 1001.

We can keep doing this 500 times, and in each case they add to 1001.

And 500 x 1001 = 500,500.

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