Sunday, April 15, 2012

Sequences

Hooooray school tomorrow!

Since we are just going over different chapters here is one of the sections we are reviewing:

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

Ex:
Find the first four terms of the sequence and state whether the sequence is arithmetic, geometric, or neither.
tn= 3n+2
n=1 3(1)+3=6

n=2 3(2)+3=9

n=3 3(3)+3=12

n=4 3(4)+3=15

Arithmetic,you add 3 each time

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