Sunday, April 8, 2012

Arithmetic and Geometric Sequences!

Helloo,
I hope everyone had a wonderful/blessed Easter Sunday!
I also hope everyone enjoys this week off of school! :)

We have been reviewing with old test for our trig exam coming up, so I am just going to review something we did last chapter.

Arithmetic mean of number's a and b is a+b/2
Geometric mean of number's a and b is the square root of ab
Sequence- 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= first 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= first 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+3
n=1 2(1)+3=5
n=2 2(2)+3=7
n=3 2(3)+3=9
n=4 2(4)+3=11
arithmetic, because you are adding 2 each time

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