# How do you find the seventeenth term in the arithmetic sequence for which a=4.5 and d=0.2?

##### 1 Answer

Feb 1, 2016

seventeenth term

#### Explanation:

Recall the general term in an arithmetic sequence is written as:

#t_n=a+(n-1)d#

where:

To solve for the seventeenth term, substitute your known values into the equation:

#t_n=a+(n-1)d#

#t_17=4.5+(17-1)(0.2)#

#t_17=4.5+(16)(0.2)#

#t_17=4.5+3.2#

#color(green)(t_17=7.7)#

Note that the seventeenth term is also

#t_17=a+16d#

#t_17=4.5+16(0.2)#

#t_17=4.5+3.2#

#color(green)(t_17=7.7)#