This week we learned a couple new things!

One is arithmetic and geometric means
*Arithmetic mean of numbers of a and b is a+b/2
*Geometric mean of numbers a and b is the square root of ab

*Sequence is a list of numbers

*Arithmetic Sequence:
A sequence that is generated by adding the same number each time.

*Formula: tn=t1+(n-1)d
t1=1st term
n=term number
d=difference(what is being added)
tn=___ term

*Geometric Sequence:
A sequence that is generated by multiplying the same number each time. (To divide we use fractions)

*Formula: tn=t1(r)^(n-1)

t1=1st term
r=what is being multiplied
n=term number
tn=___ term

Example 1:
Find the first four terms of the sequence and state whether the sequence is arithmetic, geometric, or neither.
tn=2n + 2

1(2) + 2= 4

2(2) + 2=6

3(2) + 2=8

4(2) + 2=10

Arithmetic...addding 2

Example 2:
Find a formula for tn.
2, 4, 6....

its geometric and the tn formula is tn=2n

Example 3: find the arithmetic and geometric mean for a=3 and b=5.

3+ 5/2=4

Sqaure root of 3*5=square root of 15.