IN his head, bitchez!
Or in longer words: by noting 1+100=101, 2+99=101, ... , 50+51=101
50 pairs of numbers summing to 101, so 50x101 = 5050
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.
Gauss' method, supposedly at the age of 5 according to the story ...Consider pairs:1 + 100 = 1012 + 99 = 1013 + 98 = 1014 + 97 = 1015 + 96 = 101Each pair sums to 101, and there are (100/2) = 50 of them.So their grand sum is (101 x 50) = 5050.
Gauss's method was to find the sum of 1-100. He tried adding with pairs 1 + 100 = 101, 2 + 99 = 101 and so on. Each pairs was going to equal 101. Half of 100 is 50, 50 x 101 = 5,050.
They are 13.
99, 100, and 101
The sum of the integers from 1 to 100 inclusive is 5,050.
101
Gauss was a German mathematician who, as a child prodigy, was able to calculate the sum of all numbers from 1-100 in less then a minute.
Using Gauss's method, 1+2+3...1000= 500x1001=500500 Answer:500500
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.
It is 2500.
The sum of all the digits of all the positive integers that are less than 100 is 4,950.
They are 2n+2
Gauss' method, supposedly at the age of 5 according to the story ...Consider pairs:1 + 100 = 1012 + 99 = 1013 + 98 = 1014 + 97 = 1015 + 96 = 101Each pair sums to 101, and there are (100/2) = 50 of them.So their grand sum is (101 x 50) = 5050.
It is 100*(100+1)/2 = 50500.
2550
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