if we start counting all natural number upto 1000 then what will be the sum of all these numbers
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We represent the numbers from 1 to 1000
1, 2, 3, 4, ………. 996, 997, 998, 999, 1000
From the outsides inwards we add
1+ 1000 = 1001
Then we add 2 + 999 = 1001
Next we add 3 + 998 = 1001
………
That is, every time we make a sum like this, we will always have 1001.
How many sums will have to be made? Only 500 sums.
So, if we multiply 1001 five hundred times:
We will have: 500 x 1001 = 500500
[This is how Gauss did it for the first hundred numbers]
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