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?

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) (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 .

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 .

; and .

Fill-in the parts step by step and compute the answer.
Undone here, so you do that.
RELATED QUESTIONS
If the sum of the consecutive integers from -22 to x, inclusive, is 72, what is the value (answered by bucky)

If the sum of the consecutive integers from -22 to x, inclusive, is 72, what is the value (answered by ankor@dixie-net.com)

If the sum of all integers from 1 to 1,000, inclusive, is x, then which expression... (answered by oscargut)

Consider the integers from 1 to 100 inclusive. What is the difference between the sum of... (answered by nabla)

What is the sum of all consecutive even integers between 1 and 100... (answered by ewatrrr)

What is the sum of all consecutive even integers between 1 and 100... (answered by josmiceli,MathLover1,MathTherapy)

What is the product of all the even integers from -6 to 7,... (answered by Alan3354)

What is the average value of the integers from -50 to 50, inclusive? Please include... (answered by sachi,stanbon)

What is the sum of the digits used to form the integers from 45 to 100 , inclusive? I... (answered by AnlytcPhil)