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Algebra2/Trigonometry
Terms for the Regents Exam
12
Mathematics
11th Grade
01/31/2011

Additional Mathematics Flashcards

 


 

Cards

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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