SOLUTION: Can you help with this problem using a formula? Find the sum of the even integers between -50 and 200 including them, that is, -50+(-48)+(-46)+...+198+200. Thanks.

Question 172042: Can you help with this problem using a formula?
Find the sum of the even integers between -50 and 200 including them, that is, -50+(-48)+(-46)+...+198+200.
Thanks.

Answer by Alan3354(69443) (Show Source): You can put this solution on YOUR website!
Can you help with this problem using a formula?
Find the sum of the even integers between -50 and 200 including them, that is, -50+(-48)+(-46)+...+198+200.
-------------------------
That's a total of 126 numbers. 1 + (200 - (-50))/2 = 126
The average is (200 + (-50))/2 = 75.
So the total is 126*75 = 9,450.

RELATED QUESTIONS
1.Find the sum of the even integers between -24 and 226, including end... (answered by MathLover1)

Find the sum of the odd integers between -39 and 91 including them, that is,... (answered by fcabanski)

The sum of three consecutive even integers is 10 less than 256. Find the integers.... (answered by Mathtut)

Dear Math Expert , can you help me with this problem :) Three distinct integers are... (answered by Fombitz,stanbon)

Can you help me with this problem? Find two consecutive positive even integers whose sum... (answered by jim_thompson5910)

Hi, could you help me with this problem? "Find the largest set of three consecutive even (answered by Boreal,MathTherapy)

The sum of two consecutive even integers is 70. Find the numbers. how do you solve... (answered by Alan3354)

Hello, Could you please help me with this problem about integers? I have no clue on how... (answered by josmiceli)

find the sum of the positive even integers up to and including... (answered by Alan3354)