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What is the sum of numbers between 1 to 100?
5050. It is essentially 101 x 50, an interesting mathematical property, first stated by Carl Friedrich Gauss.
How did Carl Gauss find the sum of the numbers 1 to 100 in less then one minute?
101 x 50 equals 5,050
When did Carl Friedrich Gauss invent the arithmetic progression?
Actually he did not invent arithmetic progression, but he had this insight as a 7 years old young student. When his teacher asked the class to sum all numbers from 1 to 100, the young Gauss did not need more than a few seconds to write "5050" in his slate. he noticed that 1+100=101, 2+99=101, 3+98=101, ... formed a sequence of 50 pairs that could summarize the calculation to 50x101= 5050. Gauss is today considered by many as the greatest mathematician that ever lived.
What did carl gauss invent with mathematics?
the answer to 1+2+3... all the way to 100 in less then a minute (1+99)+(2+98)+(3+97)+...+(49+51)=4900+100+50=5050
What is the sum of first 100 numbers?
The sum of the first 100 numbers is 5050. There is a formula to do this, which was discovered by Carl F Gauss. S = ( N * ( N +1 ) ) / 2 so in this case: S = (100 * 101) / 2 S = 10100 / 2 S = 5050
