Honors Algebra 2 Second Semester

Front 1

converges

Back 1

the infinite geometric series has a sum

Front 2

diverges

Back 2

the infinite geometric series has no sum

Front 3

series

Back 3

indicated sum of the terms of a sequence

Front 4

arithmetic series

Back 4

the sum of the terms in an arithmetic sequence

Front 5

geometric series

Back 5

the sum of the terms in a geometric sequence

Front 6

geometric sequence

Back 6

sequence in which the ratio of consecutive terms is a constant

Front 7

common ratio

Back 7

the constant in a geometric sequence ("r)

Front 8

arithmetic sequence

Back 8

sequence in which the difference between successive terms is a constant

Front 9

arithmetic means

Back 9

the average of two terms in an arithmetic sequence

Front 10

geometric mean

Back 10

the terms between two given terms in a geometric sequence

Front 11

mean proportional

Back 11

geometric mean

Front 12

common difference

Back 12

the constant in an arithmetic sequence

Front 13

sequence

Back 13

a function defined on the set of consecutive positive integers or a subset of consecutive positive integers

Front 14

term

Back 14

value in a sequence

Front 15

general term

Back 15

n-th term

Front 16

finite sequences

Back 16

terminates

Front 17

infinite sequence

Back 17

never ends

Front 18

recursive formula

Back 18

ex: a1= 28
a(n+1)= (an) -4
(need past terms to solve)

Front 19

explicit formula

Back 19

ex: a(n)=3(n)
(dont need past terms to solve)

Front 20

exponental equations

Back 20

an equation with a variable in the exponent
ex: y= 3^x

Front 21

hyperbola

Back 21

set of all points in a plane such that the difference of the distances from P to two fixed points is a constant

Front 22

ellipse

Back 22

set of all points in a plane such that the sum of the distances from P to two fixed points is a constant

Front 23

parabola

Back 23

set of all points P in a plane that are the same distance from a given line and a fixed point not on a line

Front 24

circle

Back 24

set of all points P in a plane that are the same distance (radius) from a given point (center)

Front 25

rational algebraic function

Back 25

function that can be represented as the quotient of two polynomials

Front 26

asymptote

Back 26

line (axis) the graph approaches but doesn't cross

Front 27

location theorem

Back 27

if f(x) is a polynomial function with real coefficients and a and b are real numbers such that f(a) is positive and f(b) is negative then at leaast one zero of f(x) occurs between a and b

Front 28

upper bound

Back 28

a number greater than or equal to the greatest real zero of the function

Front 29

lower bound

Back 29

a number less than or equal to the least zero of a function

Front 30

complex conjugate theorem

Back 30

if a complex number, a + bi, is a solution of a polynomial equation with real coefficients, then the conjugate, a-bi, is also a solution of the equation

Front 31

rational zero theorem

Back 31

if a polynomial function has integral coefficients and if it has a rational zero p/q where p and q are relatively prime, the p is a factor of the constant term and the q is a factor of the leading coefficient

Front 32

remainder theorem

Back 32

if p(x) is a polynomial and a is a number and if p(x) is divided by x-a then the remainder is p(a)

Front 33

factor theorem

Back 33

if p(x) is a polynomial then x-a is a factor of p(x) if and only if p(a)=0

Front 34

complex number

Back 34

sum of a real number and a pure imaginary number

Front 35

radical equation

Back 35

an equation that has a variable in the radicand

Front 36

extraneous root

Back 36

when you check it the answer does not work

Front 37

perfect square

Back 37

the product of two equal rational expressions

Front 38

principal square root

Back 38

the positive square root