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
76,127
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.