SOLUTION: Find the sum of the sequence of 1+2+3+4+5+6....+999 so in other words find the sum all natural numbers 1 through 999

Algebra ->  Sequences-and-series -> SOLUTION: Find the sum of the sequence of 1+2+3+4+5+6....+999 so in other words find the sum all natural numbers 1 through 999      Log On


   



Question 289540: Find the sum of the sequence of 1+2+3+4+5+6....+999 so in other words find the sum all natural numbers 1 through 999
Answer by Earlsdon(6294) About Me  (Show Source):
You can put this solution on YOUR website!
The sum (S) of such a sequence is given by:
S%5Bn%5D+=+a%5Bn%5D%28%28a%5B1%5D%2Ba%5Bn%5D%29%2F2%29 where: a%5B1%5D is the first term (1), a%5Bn%5D is the nth or last term (999), so we have:
S%5B999%5D+=+999%281%2B999%29%2F2
S%5B999%5D+=+999%28500%29
highlight%28S%5B999%5D+=+499500%29