Question

What is the common difference in the following arithmetic sequence?
2/3, 1/6, -1/3,-5/6....

Answer 1

-1/2 is the answer on edgenuty

Answer 2

Common difference
`=(-1)/(2)`

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

`a=(2)/(3)`

`a+d=(1)/(6)\\\\(2)/(3)+d=(1)/(6)\\\\d=(1)/(6)-(2)/(3)=(-3)/(6)=(-1)/(2)`

So common difference
`=(-1)/(2)`