# What are the next three terms in the series #{5/6,2/3,1/2,1/3,.........}#?

##### 1 Answer

The next three numbers are

#### Explanation:

Find the next 3 numbers in the arithmetic sequence

The next number, or term, in an arithmetic sequence is formed by adding a number to the previous term. This number

To find the common difference, subtract the previous term from a term.

For example, if we subtract the 1st term from the 2nd,

Subtracting the 2nd term from the 3rd gives

In fact, subtracting any term from the next term should give the same or "common" difference.

Now that we know

In this example, we know the 4th term is

So, the 5th term is

The 6th term is

The 7th term is