Question

What are 5 consecutive even integers that add up to 0

Answer 1

$2n+2n+2+2n+4+2n+6+2n+8=0\\ 10n+20=0\\ 10n=-20\\ n=-2\\\\ 2n=-4\\ 2n+2=-2\\ 2n+4=0\\ 2n+6=2\\ 2n+8=4\\\\ \boxed{\{-4,-2,0,2,4\}}$

Answer 2

$2a,2a+2,2a+4,2a+6,2a+8\\\\ 2a+2a+2+2a+4+2a+6+2a+8=0\\\\ 10a+20= 0\ \ \ \ | subtract\ 20\\\\ 10a=-20\ \ \ \ | divide\ by\ 10\\\\ a=-2\\\\ Numers\ are: \ -2,0,2,4,6.$