SOLUTION: What is the mean of the integers -49,000 to 50,000 inclusive?

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Question 367043: What is the mean of the integers -49,000 to 50,000 inclusive?
Answer by robertb(5830) About Me  (Show Source):
You can put this solution on YOUR website!
First term is a1 = -49000, common difference is d = 1, so an = -49000+(n-1)*1 = -49,000+n-1 = n -49,001. If an = 50,000, then 50,000 = n - 49,001, or n = 99,001. So there are 99,001 terms in the sequence. The sum of all these terms is %2899001%2F2%29%2A%28-49000+%2B+50000%29+=+99001%2A500. The average of all these numbers is then %2899001%2A500%29%2F99001+=+500