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.
They are 2n+2
The sum of all the digits of all the positive integers that are less than 100 is 4,950.
It is 100*(100+1)/2 = 50500.
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.
2550
203