# Shared Flashcard Set

## Details

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

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)da = first number in the sequencen = nth term of the sequenced = 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 ration - 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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