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Earn +20 ptsQ: How did Karl Gauss sum the integers of 1 to 100?
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WhoFind three consecutive integers whose sum is 300?
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.
Find a fast way to sum the integers from 1 to 100?
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.
What is Gauss method?
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.
Find three consecutive integers whose sum is 300?
99, 100, and 101
What are the last two digits in the sum of factorials of the first 100 positive integers?
They are 13.
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