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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
What did Carl Friedrich Gauss discover?
the method of adding all the numbers from 1~100
Who was considered a child prodigy after he summed the integers from 1 to 100?
Carl Friedrich Gauss (1777-1885)
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
How do you calculate; 1+2+3+......+99+100 quickly?
You see, 1+100= 101 and 2+99= 101 also. So, 3+98 must equal 101. Hence, that pattern repeats 50 times so 50×101=5050. So the answer is 5050. Carl Friedrich Gauss realized this.
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.
Who is the bright boy mathematician who get the sum of series 1 until 100?
I think you're referring to Carl Friedrich Gauss (1777-1855). The story is that his primary school teacher asked his pupils to add the integers from 1 to 100 believing that this would occupy them for some time. Gauss quickly gave the correct answer of 5050 presumably by reordering the terms thus: 1 + 2 + 3 + 4 + 5 + 6 + ... + 100 = (1+100) + (2+99) + (3+98) + (4+97) + (5+96) + ... + (50+51) = 101 x 50 (each of the 50 pairs adds to 101) = 5050. This particular story may not have actually happened but there is no doubt that Gauss was one of the greatest mathematicians in history.
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 formula for calculating the Gauss sum from 1 to 100?
The formula for calculating the Gauss sum from 1 to 100 is n(n1)/2, where n is the number of terms in the sequence.
What did gauss doÉ?
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.
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
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.
