Sequences in Recursive Form
We are given a graph of a sequence q where each term (n) has a value in the vertical axis.
Thus, the first values of the sequence q are:
-3, 0, 3, 6, 9
For n=1, 2, 3, 4, and 5 respectively
A recursive form of a sequence describes it as a function of the previous term(s).
Please note the second term (n=2) can be calculated as the first term (n=1) plus 3:
q2 = q1 + 3
The third term (n=3) is the second term (n=2) plus 3.
q3 = q2 + 3
This sequence can be written as follows:
q(n) = q(n-1) + 3
For n>1