- #1
Nikitin
- 735
- 27
Homework Statement
When x=! -1, y=! -1, x=! -y then x and y are two numbers so that 1/(x+1) + 1/(x+y) + 1/(y+1)... is an arithmetic serie. Show that then also x2 + 1 + y2... must be an arithmetic serie.
The Attempt at a Solution
I tried to find the differentials between each number in the first line, then make them equal each other but I really didn't get anywhere. I figured out though that if x=y=1 then both of the series are arithmetic.
Anyways can I get some help pls?