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What is the sum of the first 1500 consecutive odd numbers?

Updated: 8/20/2019
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11y ago

Best Answer

You can work this out by realizing that the sum of the first x odd numbers is equal to x2.

Consider the following examples:

The first three odd numbers: 1 + 3 + 5 = 9

The first five odd numbers: 1 + 3 + 5 + 7 + 9 = 25

The first ten odd numbers: 1 + 3 + 5 + 7 + 9 + 11 + 13 + 15 + 17 + 19 = 100

In each case, the number of odds you're adding together is the square root of their sum. This means that the first 1500 consecutive odd numbers have a sum of 15002, which equals 2250000, or two and a quarter million.

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11y ago
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Q: What is the sum of the first 1500 consecutive odd numbers?
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