# If #a_0=7# and #a_(n+1)=a_n+12# for #n>=0#, how do you find the values of #a_5#?

##### 1 Answer

Jan 7, 2017

#### Explanation:

This recursive definition describes an arithmetic sequence with initial term

The general term of an arithmetic sequence can be written:

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

where

So in our example,

#a_5 = a+d(5-1) = a+4d = 7+4*12 = 7+48 = 55#