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What is the sum of the first one hundred positive integers?

 Nov 30, 2021
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The sum is 50.5 * 100

 Nov 30, 2021
 #2
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What is the sum of the first one hundred positive integers?

 

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Using the Formula  

We can put what Gauss discovered into an easy-to-use formula, which is:  

(n / 2)(first number + last number) = sum, where n is the number of integers.  

Let's use the example of adding the numbers 1-100 to see how the formula works.  

Find the sum of the consecutive numbers 1-100:  
(100 / 2)(1 + 100)  
50(101) = 5,050  

 Nov 30, 2021

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