Sequences!

So this week we are gonna learn about two different types of sequences. A sequence is a list of numbers with a pattern. Today we are going to learn about Arithmetic and Geometric sequences.

An Arithmetic Sequence is a sequence that is generated by adding the same number ech time.
The formula for arithmetic is
tn=t1 + (n-1) x d
d is what is being added or the difference.
tn is __ terms

A Geometric Sequence is a sequence that is generated by mulitplying the same number each time.
The formula for geometric is
tn=t1 x r^(n-1)
r is what is being mulitplied
n is the term number
tn is again __ terms

Now that you know some information on this, we're going to work some problems.

Example 1. Find the tn formula for the following sequence:
1,4,7,10
This is arithmetic because you add 3 each time. So we plug it into the tn formula.
Tn=1+(n-1)3
Tn=3n-2

Example 2: Find the tn formula for the following sequence:
2,4,8,16
This is geometric because you multiple everything by 2.
Tn=2(2)^n-1

I hope you learned about sequences. See you next week!

--Carley!