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How do you calculate the sum of all numbers from 1 through 100?

The formula for the sum of an arithmetic sequence is ((first number) + (last number)) x (how many numbers) / 2, in this case, (1 + 100) x 100 / 2.The formula for the sum of an arithmetic sequence is ((first number) + (last number)) x (how many numbers) / 2, in this case, (1 + 100) x 100 / 2.The formula for the sum of an arithmetic sequence is ((first number) + (last number)) x (how many numbers) / 2, in this case, (1 + 100) x 100 / 2.The formula for the sum of an arithmetic sequence is ((first number) + (last number)) x (how many numbers) / 2, in this case, (1 + 100) x 100 / 2.


What number is next in sequence 100 70 30 100 90?

If the sequence is determined by 100 - 70 = 30, then the next number is 10.


What is the next square number after 90?

100 is the next square number (10 x 10)


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 does the place value of a digit tell you How does switching the positions of the digits in the number 52 affect that number's value?

In a number (integer) the last digit on the right is "how many units". Then next to the left is "how many tens". The next is "how many hundreds". Notice the progression 1 to 10 to 100. To the right of the decimal point, for numbers smaller than 1, in sequence you have 1/10, 1/100, 1/100 etc. 52 means 5 tens and 2 units. 25 means 2 tens and 5 units.

Related Questions

How do you calculate the sum of all numbers from 1 through 100?

The formula for the sum of an arithmetic sequence is ((first number) + (last number)) x (how many numbers) / 2, in this case, (1 + 100) x 100 / 2.The formula for the sum of an arithmetic sequence is ((first number) + (last number)) x (how many numbers) / 2, in this case, (1 + 100) x 100 / 2.The formula for the sum of an arithmetic sequence is ((first number) + (last number)) x (how many numbers) / 2, in this case, (1 + 100) x 100 / 2.The formula for the sum of an arithmetic sequence is ((first number) + (last number)) x (how many numbers) / 2, in this case, (1 + 100) x 100 / 2.


What r applications of arithmetic progression in daily life?

You get a job in sales. The boss tells you that your quota will start at 10 units for the 1st week and increase by 3 units each week until it is 100 units. ---- this is arithmetic, you add 3 each week.


What comes next in series 149 162 536 496 481?

To determine the pattern in this series, we can calculate the difference between each number. The differences are as follows: 13, 374, -40, -15. Looking at these differences, we can see that there is no consistent pattern or arithmetic progression. Therefore, it is difficult to accurately predict the next number in the series based on the given sequence.


What do you think is the next number after 100?

The next whole number greater than 100 is 101.


What number is next in sequence 100 70 30 100 90?

If the sequence is determined by 100 - 70 = 30, then the next number is 10.


What is the next decimal number after 99?

100


What is the missing number 20 0.8?

To determine the missing number in the sequence 20, 0.8, we need to identify the pattern. One possible pattern is that each number is being divided by 10. In this case, 0.8 divided by 10 equals 0.08. Therefore, the missing number would be 0.08.


How many whole number between 100 and 400 are divisible by 3 but not divisible by 6?

The first whole number divisible by 3 is 102 and the last one 399. Let n be the number of whole numbers between 102 and 399 102 + (n - 1)x3 = 399 (this is an arithmetic progression) Solving n, n-1 = (399 - 102)/3 = 99 n = 100 Since even whole numbers among these 100 will be divisible by 6, the number not divisible is half of 100, i.e. 50. regards, lpokbeng


What is the next number after 100 trillion?

quadrillion


What is the next square number after 90?

100 is the next square number (10 x 10)


What is the sum of the first 100 multiples of 3?

The solution to the given problem can be obtained by sum formula of arithmetic progression. In arithmetic progression difference of two consecutive terms is constant. The multiples of any whole number(in sequence) form an arithmetic progression. The first multiple of 3 is 3 and the 100th multiple is 300. 3, 6, 9, 12,... 300. There are 100 terms. The sum 3 + 6 + 9 + 12 + ... + 300 can be obtained by applying by sum formula for arithmetic progression. Sum = (N/2)(First term + Last term) where N is number of terms which in this case is 100. First term = 3; Last term = 300. Sum = (100/2)(3 + 300) = 50 x 303 = 15150.


800 -400 200 -100 what number comes next?

Oh, dude, it's like a math riddle or something. So, if we look at the pattern, it's subtracting 400, then adding 600, then subtracting 300. So, the next step would be to add 400, which would give us 500. Math can be fun, right?