# How do you find the 12th term of the arithmetic sequence 20, 14, 8, 2, -4, ...?

##### 1 Answer

Dec 20, 2015

#### Answer:

#### Explanation:

A term of an arithmetic sequence can be calculated with the formula:

#t_"n"=a+(n-1)d#

where:

To find the

#t_"2"-t_"1"#

#=14-20#

#=-6#

Now that you have the common difference, substitute all your known values into the formula to solve for

#t_"n"=a+(n-1)d#

#t_"12"=20+(12-1)(-6)#

#t_"12"=20+(11)(-6)#

#t_"12"=20-66#

#t_"12"=-46#