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Is the set of integers between 1 and 100 inclusive?

Updated: 8/20/2019
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10y ago

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To be pedantic, it is not.

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10y ago
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Q: Is the set of integers between 1 and 100 inclusive?
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WhoFind three consecutive integers whose sum is 300?

The integers are 99, 100 and 101. There is also a set of consecutive even integers whose sum is 300. That set is 98, 100 and 102.


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The set of integers is a proper subset of the set of rational numbers.


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To find the sum of the first 100 integers, you first add 1 plus 100 (the first and last numbers of the set) and get 101. Do the same with the next two integers, 2 and 99 and you'll get 101. Since you are adding two integers at a time and there are 100 integers between 1 and 100, you'll get 101, fifty times. Therefore, a shortcut would be to simply multiply 101 times 50 and get 5,050.


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