Find the next two terms of the following arithmetic sequence: 5/6, 2/3, 1/2, 1/3

First, we can make them all common denominators.

Since 6 is the dominant denominator: 5/6, 4/6,  3/6, 2/6.

So it's subtracting by 1/6, so the next two terms will be: 1/6, 0, -1/6.

set each factor equal to 0

4x-3 = 0

2x-1 = 0

solve for x.

4x-3=0

4x=3

x= 3/4

solve for x. 

2x-1= 0

2x= 1

x= 1/2

eventually after a few more steps, your answer should be 1/2 is less than or equal to x and 3/4 is greater than or equal to x