Before the holidays we did chapter 13. 13-2 was about recursive- defines the terms of what came before.

FORMULAS:
to find:
previous term---tn-1
two terms back---tn-2

1)find the certain number of terms.
2)give a recursive definition.

EXAMPLES:
find the 3rd, 4th, and 5th terms.
tn=4tn-8
t1=10

just multiply the number in front of t and the first terms and subtract 8.

t2=4(10)-8 = 32
t3=4(32)-8 = 120
t4=4(120)-8 = 472
t5=4(472)-8 = 1,880

It's very simple to find terms like this especially when you are given the 1st term already.

The other way is to find a recursive definition.

Give a recursive definition for 2,4,6,8....
**you can obviously see that 2 is being added each time.
*ARITHMETIC PATTERN!

RECURSIVE DEFINITION:
tn=tn-2+2

SEE ALL OF YOU TOMORROW :)