Question 155017
Integers=x, x+2, x+4
(x+x+2)/2=(x+4-x)^2
(2x+2)/2=4^2
2(x+1)/2=16
x+1=16
x=16-1
x=15 the smallest integer.
15+2=17 the next one.
15+4=19 the largest.
proof:
(15+17)/2=(19-15)^2
32/2=4^2
16=16