13-1 Sequences

This Thursday when everybody was at the volleyball game, Lauren, Kaitlyn, Ty, and I learned about sequences. It was a very small class which actually made it easier to learn.This section isn't hard just has a lot of steps which is hard when you have the attention span of a fly.

So, a sequence is just a list of numbers. There are two types of sequences: arithemetic which is a sequence where the same number is added or subtracted each time and geometric which is a sequence where the same number is multiplied or divided each time.

t_n = whichever term

To find t _n in arithemetic- t_n = t₁+ t(n-1)d and in geometric- t_n = r^n-1

These formulas are helpful when you're trying to figure out whether a problem is arithemetic, geometric, or neither.

For example
9/2, 3, 2, and 4/3 is that sequence arithemetic, geometric, or neither?
First you must divide each number with the second number over the first.
3/9/2 = 6/9 = 2/3
If all of the numbers equal the same thing it's geometric and the r = 2/3.