Sunday, April 29, 2012
-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: 1.)
Find the first four terms of the sequence and state whether the sequence is arithmetic, geometric, or neither.
tn= 4n+12
n=1 4(1)+12=16
n=2 4(2)+12=20
n=3 4(3)+12=24
n=4 4(4)+12=28
It is arithmetic because you are adding 4 each time!
Example: 2.)
Find the first four terms of the sequence and state whether the sequence is arithmetic, geometric, or neither.
tn=-2n+8
n=1 -2(1)+8=6
n=2 -2(2)+8=4
n=3 -2(3)+8=2
n=4 -2(4)+8=0
It is arithmetic because you are adding -2 each time!
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