Arithmetic and Geomettic sequences

*Sequence-a list of numbers. Two types of sequences:
--Arithmetic sequence-made by adding the same positive or negative interger to generate the sequence
-Fromula tn=t1=(n-1) d
-t1=first term
-n=term #
-d=difference (what is being added or subtracted)
-tn=last term

--Geometric sequence-made by mulitiplying by the same whole number or fraction to generate a sequence.
-Fromula tn=t1 * r ^(n-1)
-r=ratio the number that is mulitiplied to generate the sequence
-t1=first term
-n=term # (tn= ___ term)

There are many ways to generate a sequence using these formulas or to find the formula for a sequence of numbers.

EX1
Find the first 4 terms of the sequence tn=3n+1
Just plug in 1 through 4 to the sequence
3(1)+1=4
3(2)+1=7
3(3)+1=10
3(4)+1=13

EX2 Find the formula for 2,4,8,16
You multiply by 2 each time so its geometric. Now just plug into formula
tn=2*(2) ^(n-1)