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MATH 103 - Chapter 12
Vocabulary
26
Mathematics
12/07/2010

Term
 variable
Definition
 a symbol used to stand for a value from a particular set of values
Term
Definition
 a + b = b + a
Term
Definition
 a + (b + c) = (a + b) + c
Term
Definition
 zero 0 + a = aa + 0 = a
Term
Definition
 for each number, a, there is another number, denoted -a, such that a + (-a) = 0 and -a + a = 0each of a and -a is the additive inverse of the other
Term
 commutativity of multiplication
Definition
 a x b = b x a
Term
 associativity of multiplication
Definition
 a x (b x c) = (a x b) x c
Term
 identity (multiplication)
Definition
 11*a = aa*1 = a
Term
 multiplicative inverses
Definition
 for each nonzero number, a, there is another number, denoted 1/a, such thata * (1/a) = 1(1/a) * a = 1
Term
Definition
 a x (b + c) = (a x b) + (a x c)
Term
 polynomial in some variable
Definition
 any sum of number multiples of whole number powers of a variable
Term
 terms (polynomial)
Definition
 the expressions that are added or subtracted in a polynomial
Term
 common difference
Definition
 in a list of numbers, this is the special number that creates a pattern by adding the special number over and over to generate the list of numbers
Term
 arithmetic sequences
Definition
 a sequence of numbers that have a common difference
Term
 terms (sequence)
Definition
 the entries that make up a sequence
Term
 arithmetic sequence equation
Definition
 an = a1 + (n-1)d
Term
 geometric sequence
Definition
 a pattern in which each number in a list is obtained by multiplying the number that precedes it by the same factor
Term
 common ratio
Definition
 the same factor which is multiplied in a geometric sequence
Term
 geometric sequence equation
Definition
 gn = g1*rn-1
Term
 golden ratio
Definition
 the sequence that is the ratio of consecutive Fibonacci numbers converges to this
Term
 Fibonacci sequence
Definition
 1, 1, 2, 3, 5, 8, ...
Term
 function
Definition
 a correspondence in which each element of the first set is assigned to exactly one element of the second set
Term
 function rule
Definition
 describes how the correspondence works
Term
 inductive reasoning
Definition
 arriving at a general assertion by looking at examples
Term
 quantity
Definition
 anything that can be measured or counted
Term
 value of a quantity
Definition
 is the measure or the number of items that are counted
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