# Shared Flashcard Set

## Details

Algebra2/Trigonometry
Terms for the Regents Exam
12
Mathematics
01/31/2011

## Additional Mathematics Flashcards

Term
 a2-b2
Definition
 Square minus a Square factors into (a+b)(a-b) conjugates
Term
 PRODUCT OF THE ROOTS
Definition
 r1*r2=c/a
Term
 SUM OF THE ROOTS
Definition
 r1+r2=-b/a
Term
 SEQUENCE
Definition
 A list of ordered numbers.  The numbers do not have to be numerically consecutive.
Term
 RECURSIVE DEFINITION
Definition
 Using one term to find the next term. Arithmetic: an=an-1+d   Geometric:  an=r . an-1
Term
 ALGERAIC DEFINITION
Definition
 An equation to find any term of a sequence.   Arithmetic: an=a0+dn   Geometric:  an=a1. rn-1
Term
 ARITHMETIC SEQUENCE
Definition
 A sequence where you add a common difference, d, to each term to get the next consecutive term.
Term
 GEOMETRIC SEQUENCE
Definition
 A sequence where you multiply each term by a common ratio, r, to get the next consecutive term.
Term
 SERIES
Definition
 Sum of the terms of a sequence.
Term
 nth PARTIAL SUM
Definition
 The sum of the first n terms of a sequence. The formulas for arithmetic and geometric partial sums are given on your reference sheet.
Term
 INFINITE SERIES
Definition
 An infinite arithmetic series has no limit. An infinite geometric series has no limit when ιrι>1. An infinite geometric series has a finite limit when ιrι<1. Sn=a1/(1-r)
Term
 MEAN
Definition
 a term
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