Answer:
Common difference[tex]=\frac{-1}{2}[/tex]
Step-by-step explanation:
We have general form of arithmetic sequence
a, a+d, a+2d, a+3d ...................
Here it is given that the sequence is
2/3, 1/6, -1/3,-5/6....
Comparing we will get
[tex]a=\frac{2}{3}[/tex]
[tex]a+d=\frac{1}{6}\\\\\frac{2}{3}+d=\frac{1}{6}\\\\d=\frac{1}{6}-\frac{2}{3}=\frac{-3}{6}=\frac{-1}{2}[/tex]
So common difference[tex]=\frac{-1}{2}[/tex]
