SOLUTION: Hello ! I need help with this problem. At first I thought I had solved it, but then whoops, I calculated 3 means instead of 5, and upon looking closer, I discovered that my whole p

Algebra ->  Sequences-and-series -> SOLUTION: Hello ! I need help with this problem. At first I thought I had solved it, but then whoops, I calculated 3 means instead of 5, and upon looking closer, I discovered that my whole p      Log On


   



Question 1039330: Hello ! I need help with this problem. At first I thought I had solved it, but then whoops, I calculated 3 means instead of 5, and upon looking closer, I discovered that my whole process was utterly wrong... I looked at my book for help, but it didn't really make me understand anything. So here's the question: Insert 5 arithmetic means between (x+3y) and (9y-5x). I'll appreciate any help, thanks!
Answer by FrankM(1040) About Me  (Show Source):
You can put this solution on YOUR website!
To add 5 arithmetic means to 1, , , , , , 7 is simple, for the fact that there are 6 'differences', and the total difference is 6. So we get, 1,2,3,4,5,6,7.
To get from x to -5x is the same, it's 6 differences of x, -x to be clear. The same for 3y to 9y, it's just a difference of y.
(x+3y) (0x+4y)(-1x+5y)(-2x+6y)(-3x+7y)(-4x+8y) (-5x+9y)