well, ace of 1 (or the first number in the equation) =1, d=1 (or what it's added by each time), which shows that it's arithmetic), and n=1000 (the number you're trying to get)
the equation is s of n=n/2 (ace of 1 + ace of n) s of n is the sum of the numbers
so, s of n=500(1+1000)
s of n=500500
so 500,500 is the sum of the numbers from 1 to 1000.
you can find more at
http://www.YouTube.com/watch?v=VgVJrSJxkDk&feature=youtube_gdata
http://www.youtube.com/watch?v=U_8GRLJplZg&feature=youtube_gdata
1001
1,000,000 * * * * * The 1st and 500th sum to (2*1-1)+(2*500-1) = 2*501 - 2 = 1000 The 2nd and 499th sum to (2*2-1)+(2*499-1) = 2*501 - 2 = 1000 There are 250 such sums So sum of all 500 odd numbers = 250*1000 = 250,000
The sum of all the odd numbers between 1 and 12000 is 36000000.
The sum of all the odd numbers from 1 through 100 is 10,000
The sum of all odd numbers, up to the odd number (2n-1) is n^2. So the sum of the first 1000 or 10^3 odd positive numbers is (10^3)^2=10^6 Now divide by 10^3 or 1000 since we have 1000 numbers so we have 10^6/10^3=1000 The mean of the first 1000 positive odd numbers is 1000 If you ask the mean of the odd numbers between, 1 and 1000, that is another problem, since there are 500 of them, the answer would be 500^2/500=500 Think of the mean of the odd numbers between 1 and 10, there are 5 of them and there sum is 25 so the mean is 25/5 or 5 **** in general, the arithmetic mean of the first n odd numbers is n^2/n or n. So that is why the number is 1000.
The sum of all numbers between 1 and n = n*(n+1)/2 The sum of all numbers between 1 and 999 = 999*1000/2 = 499500 The sum of all numbers between 1 and 9999 = 9999*10000/2 = 49995000 So, the sum of all numbers between 1000 and 9999 = 49495500
1001
It is 1000*(1000+1)/2 = 500500
To get a list of the squares of the first 1000 numbers we can do:> [n^2 | n sum [n^2 | n
The sum of the whole numbers 1 through 1,000 is 500,500.
1,000,000 * * * * * The 1st and 500th sum to (2*1-1)+(2*500-1) = 2*501 - 2 = 1000 The 2nd and 499th sum to (2*2-1)+(2*499-1) = 2*501 - 2 = 1000 There are 250 such sums So sum of all 500 odd numbers = 250*1000 = 250,000
Sum of first n numbers = n/2(n +1) = 500 x 1001 = 500500
63
No. Sum of Prime Numbers 1 - 1000 is: 76127 The factors of 76127 are: 1 269 283 76127 The prime factors are: 269 x 283
The sum of the prime numbers between 1 and 1,000 (2-999) is 76,127.
The sum of all the numbers 1 through 200 is 20,100.
To find the sum of a set of numbers, you can use this formula: ∑ = (x)(x+1)/2 That is..... The sum = (The number of samples)(The number of samples + 1)/2 Example: What is the sum of all numbers between 500 and 1000? Assuming that we do not include 500 or 1000 in our answer, we have 498 numbers to add up. Let's put that into the formula.... ∑ = (498)(498+1)/2 ∑ = (498)(499)/2 ∑ = (248,502)/2 ∑ = 124,251 The Answer is 124,251