Given that 6,x, -4,and y are consecutive terms in an arithmetic progression, find the value of (xy)

1 answer

6 + a = x
6 + 2 a = -4

12 + 2 a = 2 x
6 + 2 a = -4
----------------
6 = 2 x + 4
2 x = 4
x = 2
a = 2 - 6 = -4
so
6, 2 , -4 , -8
2 * -8 = -16