ANSWER THIS PLEASE Find the sum of 208+210+212...+422 using Gauss's method

Question

wolf1728 · Answer

You want to sum 208 + 210 + 212 ... 418 + 420 + 422 
Gauss (as a kid) summed 1 through 100 by adding the numbers 100 through 1 to the numbers 1 through 100. 
He realized it would create 100 occurrences of the number 101 divided by 2. 
So 101 * 100 / 2 = 10,100 / 2 = 5,050 

So let's do the same with that problem. 
Adding 422 420 418 to the series produces 108 occurrences of 630. 
The sum of the series would be 108*630 / 2 or 34,020

goformit100 · Answer

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