Arithmetic and Geometric Sequences

This past week of school we have just been reviewing chapters from Trig so this is a bit of review on arithmetic and geometric sequences.

-The arithmetic mean of number's a and b = a+b/2
-The geometric mean of number's a and b = square root of ab

Note: A sequence is a list of numbers.

An arithmetic Sequence is a sequence that is generated by adding the same number each time.
Arithmetic Sequence formula : tn=t1 + (n-1)d
t1= first term
n= term number
d= difference
tn= ___ term

A geometric Sequence is a sequence that is generated by multiplying the same number each time. (to divide, we use fractions)
formula: tn=t1(r)^(n-1)
t1= first term
r= what is being multiplied
n= term number
tn= ___ term

Example :
Find the first four terms of the sequence and state whether the sequence is arithmetic, geometric, or neither.
tn= 3n+4
n=1 3(1)+4=7
n=2 3(2)+4=10
n=3 3(3)+4=13
n=4 3(4)+4=16

This sequence is arithmetic; you are adding 3 each time