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#