D126 Key Terms Flashcards
What is a sequence?
an ordered list
- a set of numbers or shapes ordered in a certain way
- the order of the elements matters
- may include terms that appear two or more times
- use brace or parentheses {}()
example: {1,2,3,1,2,3,…}
What is a pattern?
a set of number or shapes arranged according to a rule
What are sets?
collections or groups of things (also called elements or terms)
- in Math, often made up of numbers or shapes
- the order of elements doesn’t matter
- individual terms can only appear once
example: {1,2,3}
ellipsis
the set of three dots (…) means the sequence is infinite
- can be used in the middle or the end of a sequence
infinite
goes on forever
finite
having a defined number of terms
term
each number in the set or sequence
arithmetic patterns
sequences that incorporate the operations of addition and subtraction
- consecutive terms share a common difference
operations
addition
subtraction
consecutive terms
terms that follow each other
- involve a constant (fixed value)
difference
constant
a fixed value
- other than 0
- also known as the common ratio
geometric sequences
sequences of numbers where a term in the sequence is the previous term multiplied by a constant
common ratio
see “constant”
shape patterns
set of shapes that follow a particular order
- also called geometric patterns
sequence
an ordered list that can be finite (limited number of terms) or infinite (goes on forever)
rule
the pattern between consecutive terms in a sequence can be described by a rule
arithmetic pattern
a sequence of numbers with a constant difference between consecutive terms
geometric sequence
a sequence of numbers where the term is the previous term multiply by a constant (or common ratio)
pattern with exponents
involve applying an operation to an underlying pattern
shape pattern
aka geometric pattern, a set of shapes with repetitive order
number patterns
involves constant(s) aka fixed values
shape patterns
shapes have a particular order
odd number
an integer not evenly divisible by 2
even number
an integer evenly divisible by 2
pattern rule
analyzing consecutive terms helps to formulate the pattern rule
generated
given a starting point and the rule, more terms in the sequence can be generated
the rule for a sequence
must apply to all terms given in the sequence
positive number
has a value greater than 0
negative number
has a value less than 0
