D126 Key Terms

Question 1

What is a sequence?

Answer 1

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,…}

Question 2

What is a pattern?

Answer 2

a set of number or shapes arranged according to a rule

Question 3

What are sets?

Answer 3

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}

Question 4

ellipsis

Answer 4

the set of three dots (…) means the sequence is infinite
- can be used in the middle or the end of a sequence

Question 5

infinite

Answer 5

goes on forever

Question 6

finite

Answer 6

having a defined number of terms

Question 7

term

Answer 7

each number in the set or sequence

Question 8

arithmetic patterns

Answer 8

sequences that incorporate the operations of addition and subtraction
- consecutive terms share a common difference

Question 9

operations

Question 10

addition

Question 11

subtraction

Question 12

consecutive terms

Answer 12

terms that follow each other
- involve a constant (fixed value)

Question 13

difference

Question 14

constant

Answer 14

a fixed value
- other than 0
- also known as the common ratio

Question 15

geometric sequences

Answer 15

sequences of numbers where a term in the sequence is the previous term multiplied by a constant

Question 16

common ratio

Answer 16

see “constant”

Question 17

shape patterns

Answer 17

set of shapes that follow a particular order
- also called geometric patterns

Question 18

sequence

Answer 18

an ordered list that can be finite (limited number of terms) or infinite (goes on forever)

Question 19

rule

Answer 19

the pattern between consecutive terms in a sequence can be described by a rule

Question 20

arithmetic pattern

Answer 20

a sequence of numbers with a constant difference between consecutive terms

Question 21

geometric sequence

Answer 21

a sequence of numbers where the term is the previous term multiply by a constant (or common ratio)

Question 22

pattern with exponents

Answer 22

involve applying an operation to an underlying pattern

Question 23

shape pattern

Answer 23

aka geometric pattern, a set of shapes with repetitive order

Question 24

number patterns

Answer 24

involves constant(s) aka fixed values

Question 25

shape patterns

Answer 25

shapes have a particular order

Question 26

odd number

Answer 26

an integer not evenly divisible by 2

Question 27

even number

Answer 27

an integer evenly divisible by 2

Question 28

pattern rule

Answer 28

analyzing consecutive terms helps to formulate the pattern rule

Question 29

generated

Answer 29

given a starting point and the rule, more terms in the sequence can be generated

Question 30

the rule for a sequence

Answer 30

must apply to all terms given in the sequence

Question 31

positive number

Answer 31

has a value greater than 0

Question 32

negative number

Answer 32

has a value less than 0