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Arithmetic and Geometric Sequences
formulas for finding the nth number's value
6
Mathematics
8th Grade
12/26/2011

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Term
Arithmetic Sequence
Definition
a sequence of numbers such that the difference of any two successive members of the sequence is a constant
Term
The Nth Term of an Arithmetic Sequence
Definition
y=a+(n-1)d
a = first number in the sequence
n = nth term of the sequence
d = common difference.
Term
Sum of an Arithmetic Sequence
Definition
s=(n/2)(a+y)=(n/2)[2a+(n-1)d]
y = last term,
d = common difference,
n = number of terms,
a = first term of the sequence,
S = sum of the first n-terms
Term
Geometric Sequence
Definition
a sequence of numbers where each term after the first is found by multiplying the previous one by a fixed non-zero number called the common ratio
Term
The Nth or Last Term of a Geometric Sequence
Definition
n=a(r^(n-1))
r- common ratio
n - number of terms
a - first term of the sequence
Term
The Sum of the First N-terms of a Geometric Sequence
Definition
s=(a(1-(r^n)))/(1-r)
r - common ratio
n - number of terms
a - first term of the sequence
S - sum of first n-terms
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