Natural numbers
positive integers (1,2,3,4)
Whole numbers
set of natural numbers and zero
integers
set of whole/natural numbers and their opposites
rational numbers
number that can be expressed as a ratio of integers; fractions and decimals that stop or have a pattern
irrational numbers
a number that cannot be expressed as a ratio of integers; doesn't have a pattern or stop
domain
all possible x values, input values
range
all possible y values, output values
function
each input only yields one output
sequence
ordered list of numbers where each number is a term (n)
What is the term number when graphing a sequence?
domain
What is the number that occurs in the sequence when graphing a sequence?
range
recursive form of a sequence
first term given and there is a way to fin the nth term using the terms that proceeded it
arithmatic sequence
the difference between each term and the preceding term is constant
recursive form for an arithmatic sequence
un=un1+d
explicit form for an arithmatic sequence
un=u1 + (n-1)d for every n>= 1un=u0 +nd for every n>=0
partial sums of an arithmatic sequence
k/2(u1+uk) ---> not in explicitku1+ k(k-1)/2(d) ----> explicit
geometric sequence
sequence in which terms are found by multiplying a preceding terms by a constant (r)
recursive form of a geometric sequence
un=run-1
explicit form of a geometric sequence
un= u1r^n-1
partial sum of a geometric sequence
u1(1-r^k)/(1-r)