Question

An arithmetic sequence is given below.

12,16,20,24
wright an explicit formal for the nth term an.
an=?

Answer 1

`a_n=8+4n`

Explanation:

The nth term of an arithmetic sequence is given by the formula:

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

Where

a is the first term

d is the common difference

a is given as 12

To find d, we subtract any term from the term after it. So

d = 16 - 12 = 4

Now, the explicit formula for nth term is:

`a_n=a+(n-1)d\\a_n=12+(n-1)4\\a_n=12+4n-4\\a_n=8+4n`