Question

If x y and z are consecuitive of an arthimetic sequence with x+ y=0, find y÷z

Answer 1

1/3

Explanation:

we are given that x, y, z form an arithmetic series. let the common difference be d.

we have x + y = 0, and letting y = x + d, we have

`x + x + d = 0`

and this simplifies to

`d = - 2x`

we can now express y and z in terms of x:

y = x - 2x = -x

z = y - 2x = -x - 2x = -3x

so, we have

`(y)/(z) = ( - x)/( - 3x) = (1)/(3)`