what is the sum of the numbers 1 to 1000?
ans:500500
start at 499, 501 the sum is 1000
then 498,502 the sum is 1000
do that a total of 50 times, or 50000total, then add the center number, 500 to sum
50500
Now here is another way:
pair the numbers, first to last:
1+1000=1001
2+999= 1001
do that till you have to 500times, sum is 50500
Now if you want a formula for the sum of N numbers.... (N+1)(N/2)
THANKS I JUST WANTED TO MAKE SURE
To get the sum of the numbers from 1 to 1000, you can use the formula for the sum of an arithmetic series, which is given by:
Sum = (n/2)(first term + last term)
In this case, the first term, a, is 1 and the last term, l, is 1000. The common difference, d, is 1.
Substituting the values into the formula:
Sum = (1000/2)(1 + 1000)
= 500(1 + 1000)
= 500(1001)
= 500,500
Therefore, the sum of the numbers from 1 to 1000 is 500,500.