How to find sum of numbers from 1 to 100


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What is the sum of all numbers from 1 to 100 ​

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Answer:

Gauss noticed that if he was to split the numbers into two groups (1 to 50 and 51 to 100), he could add them together vertically to get a sum of 101. Gauss realized then that his final total would be 50(101) = 5050


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