SOLUTION: Let X represent the sum of the integers between 1 and 300, inclusive, and let Y represent the sum of the integers between 250 and 300, inclusive. Compute X-Y.

SOLUTION: Let X represent the sum of the integers between 1 and 300, inclusive, and let Y represent the sum of the integers between 250 and 300, inclusive. Compute X-Y.

Algebra.Com

Question 504901: Let X represent the sum of the integers between 1 and 300, inclusive, and let Y represent the sum of the integers between 250 and 300, inclusive. Compute X-Y.
Answer by richard1234(7193) (Show Source): You can put this solution on YOUR website!
X-Y = (1+2+...+300) - (250+251+...300) The 250, 251, ...300 all cancel, leaving

X-Y = 1+2+...+249 = 249*250/2 = 31125
RELATED QUESTIONS
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 sum of integers between 250 and... (answered by geetha_rama,linjackie99@yahoo.com)

Find the sum of the odd integers between 21 and 61 inclusive (answered by Alan3354)

Find the sum of positive integers between 100 and 999 inclusive which are... (answered by ikleyn)

the sum of two integers is 76 and their difference is 2. what are the integers? let x... (answered by Alan3354)

the sum of two consecutive even integers is 42. let x represent the first number. find... (answered by JulietG)

Find four consecutive odd integers with a sum of-8. Let 2n+1 represent the first odd... (answered by josgarithmetic,greenestamps)

The sum of two numbers is no more than 28. Let x represent the first number, and let y... (answered by stanbon,Alan3354)