SOLUTION: What is the sum of all consecutive odd integers between 1 and 5000?

Algebra ->  Customizable Word Problem Solvers  -> Numbers -> SOLUTION: What is the sum of all consecutive odd integers between 1 and 5000?      Log On

Ad: Over 600 Algebra Word Problems at edhelper.com


    

Question 14034: What is the sum of all consecutive odd integers between 1 and 5000?
Answer by Earlsdon(6294) About Me  (Show Source):
You can put this solution on YOUR website!
You can use the formula for the partial sum:
S+=+%28n%2F2%29%28a1+%2B+an%29
Where: n = the number of terms = 2500 (because there are 2500 odd integers between 1 and 5000)
a1 = the first term (That's 1)
an = the last (odd) term (That's 4999)
S+=+%282500%2F2%29%281%2B4999%29
S+=+%282500%2F2%29%285000%29
S+=+6250000