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MATH 103 - Chapter 12
Vocabulary
26
Mathematics
Undergraduate 1
12/07/2010

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Term
variable
Definition
a symbol used to stand for a value from a particular set of values
Term
commutativity of addition
Definition
a + b = b + a
Term
associativity of addition
Definition
a + (b + c) = (a + b) + c
Term
identity (addition)
Definition
zero
0 + a = a
a + 0 = a
Term
additive inverses
Definition
for each number, a, there is another number, denoted -a, such that a + (-a) = 0 and -a + a = 0

each 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
1
1*a = a
a*1 = a
Term
multiplicative inverses
Definition
for each nonzero number, a, there is another number, denoted 1/a, such that
a * (1/a) = 1
(1/a) * a = 1
Term
distributivity of multiplication over addition
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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