SOLUTION: If x is the sum of the integers from 1 to 79, inclusive, and y is the sum of the integers from 80 to 150, inclusive, what is the average (arithmetic mean) of x and y?

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Question 884779: If x is the sum of the integers from 1 to 79, inclusive, and y is the sum of the integers from 80 to 150, inclusive, what is the average (arithmetic mean) of x and y?
Answer by josgarithmetic(39617) About Me  (Show Source):
You can put this solution on YOUR website!
If n = how many consecutive terms starting at n=1, then the summation for the consecutive integers is %28n%2F2%29%28First%2BLast%29.

Your first summation is 79 terms, and your second summation is 61 terms.

Notice, your question is "what is the average of x and y"? As asked, that means to find %28x%2By%29%2F2.

x=%2879%2F2%29%281%2B79%29; and y=%2861%2F2%29%2880%2B15%29.

Fill-in the parts step by step and compute the answer.
Undone here, so you do that.