Question

What is the arithmetic sequence below3, 11, 19, 27...

Answer 1

The sequence we have is:

`3,11,19,27,...`

To find the arithmetic sequence, we use the arithmetic sequence formula:

`a_n=a_1+(n-1)(d)`

Where

`a_n\longrightarrow\text{ nth term}`

Note: n can be any number

`a_1\longrightarrow\text{ The first term}`

Since the first term, in this case, is 3:

`a_1=3`

And d is the common difference between the terms.

As we can see in the following image, the common difference is +8:

`d=8`

So the rule for the arithmetic sequence for a term "n" is:

`a_n=3+(n-1)(8)`

Answer:

`a_n=3+(n-1)(8)`