These are my notes from Ch. 13.2.
A recursive means define in terms of what came before.
This is what you need to remember:
tn-1 previous term
tn-2 2 terms back
tn-3 ....
Ok let's do some examples.
Find the third, fourth, and fifth terms given. t1=9 tn=5tn-1+6
t1=5 (9)+6= 51 First replace tn-1 with the previous terms. You will keep doing this until you get all three answers. Remember to use your answers and not t1!!
t2= 5 (51) + 6 = 261
t3= 5 (261) + 6= 1311
t4= 5 (1311) + 6 = 6561
t5= 5 (6561) + 6 = 32811
So your answers will be 1311, 6561, and 32811.
Now let's try finding the recursive definition for 10, 12, 14, 16...
First, you need to figure out how much is in-between each number and how to get to the next number with the previous numbers help.
Since there is 2 in between each number your answer or equation will be tn-1+2.
These are the rest of my notes on Ch. 13.2. So UNTIL MONDAY SEE YALL!!!
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