Find the common difference of the sequence shown. 1/6 , 1/3 , 1/2 , 2/3 , 1/12 1/6 1/3

The common difference of the sequence is

The term "common difference" is telling us that our sequence is arithmetic. To find the common difference of an arithmetic sequence, we use the formula:

where

is the common difference

is the current term in the sequence

is the previous term in the sequence

In other words, the formula is telling us that to find the common difference, we subtract the previous term in the sequence form the current term in the sequence.  

Let's find the difference for 1/6 , 1/3:

and

Let's make sure that the difference holds across the sequence by repeating the process for 1/3 , 1/2

and

And finally, for 1/2 , 2/3

and

We can conclude that the common difference of the sequence shown is

step-by-step explanation:

the first one is x^2+2x+2

the second one is x^2+4

the last one is x^2-4x+8