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How do you find a quick and easy method to compute the sum of the first 100 counting numbers?
The formula is:
S_n = (n(n+1))/2
where S is the sum and n is the amount of numbers (starting at 1).
So for 100:
S_100 = (100(101))/2 = 50(101) = 5050
Alternatively, you could group 0+100 (0 isn't a counting number, just a placeholder), 1+99, 2+98, ..., 49+51, 50. You get 50 groups of 100 and 1 of 50. 50(100) + 50 = 5050. I think this is what Gauss did.
What else can I help you with?
What is the sum of the first six counting numbers?
The sum of the first six counting numbers (1-6) is 19.
What is the product of the first three positive counting numbers?
product = 6 first three positive counting numbers = 1, 2, 3product of the first three positive counting numbers:1 x 2 x 3 = 6
What are the first eight counting numbers?
1, 2, 3, 4, 5, 6, 7, 8, I am counting to the first 8 numbers
How many 3 digits numbers can be formed from numbers 0-9?
The 3-digit numbers are all the counting numbers from 100 to 999.That's (the first 999 counting numbers) minus (the first 99 of them).There are 900 of them.
What numbers do you call a counting numbers?
All numbers, starting at one, and counting up. E.g. 1, 2, 3, 4, 5, 6, 7, 8, 9, 10 are the first 10 counting numbers.
What is the sum of the first 500 odd counting numbers?
The sum of the first 500 odd counting numbers is 250,000.
What is the sum of the first 50 counting numbers?
The sum of the first 50 counting numbers, excluding zero, is 1,251.
What is the least common multiple of the first twelve counting numbers?
The LCM of the first twelve counting numbers is 27720
What is the sum of the first six counting numbers?
The sum of the first six counting numbers (1-6) is 19.
What is the sum of first 10 counting numbers?
The sum of the first 10 counting numbers (1-10) is 51.
What are 1 2 3 numbers called?
They are the first three counting numbers.
What is the product of the first three positive counting numbers?
product = 6 first three positive counting numbers = 1, 2, 3product of the first three positive counting numbers:1 x 2 x 3 = 6
How much greater is the sum of the first 20 counting numbers than the sum of the first 10 counting numbers?
It is 155 greater.
What are the first eight counting numbers?
1, 2, 3, 4, 5, 6, 7, 8, I am counting to the first 8 numbers
What are the history of counting numbers?
The first counting numbers are 1-10. You counted fingers and toes and other body parts.
How many 3 digits numbers can be formed from numbers 0-9?
The 3-digit numbers are all the counting numbers from 100 to 999.That's (the first 999 counting numbers) minus (the first 99 of them).There are 900 of them.
What is the sum the first 100 counting number?
The sum of the first 100 counting numbers (1-100) is 5,001.
