Arithmetic Sequences
Geometric Sequences
Recursive Sequences
Sequences vs. Functions
Growth by Multiplication vs. growth by addition
100
A sequence is an ordered set of numbers that have a common difference between each consecutive term.
What is an Arithmetic Sequence?
100
A sequence is a list of numbers, where the next term of the sequence is found by multiplying the term by a constant.
What is a Geometric?
100
A sequence in which terms are defined using one or more previous terms which are given.
What is a Recursive sequence?
100
A sequence is a function whose domain is the set of natural numbers or a subset of the natural numbers.
What is sequence vs. function?
100
Addition produces incremental growth, but multiplication produces exponential growth.
What is Growth by Multiplication vs. Growth by Addition?
200
What is the Formula for Arithmetic Sequences?
200
an=a1r(n−1)
What is a Geometric Sequence formula?
200
an = an-1 + d
What is the Recursive Formula?
200
An ordered list of numbers (called "terms")
What is a sequence?
200
A sequence that adds over time
What is Growth by Addition?
300
You first jog for 12 minutes a day. Then slowly increase that time for 6 minutes a day. How much will you be jogging in a week?
(12, 18, 24, 30, 36, 42, 48)
48 minutes a day.
300
A population of fruit flies grows by 1.5 times each generation. There were 100 insects in the first generation. How many are in the Fourth?
Approximately 337.5 flies.
300
Bob shared a video with 3 of his friends. Within 1 minute each of those friends shared it with three of their friends. How many will receive the video by the 6th minute?
(3, 9, 27, 81...)
729
300
An expression, rule, or law that defines a relationship between one variable (the independent variable) and another variable (the dependent variable).
What is a function?
300
The factor by which a quantity multiplies itself over time
What is Growth by Multiplication?
400
How much are you adding in the sequence (3, 8, 13, 18, 23, 28, 33)?
5
400
How much are you times by to the sequence, (3, 15, 75, 375, 1875)?
5
400
Find the 10th term.
(1, 3, 5, 7, 9.... a10)
19
400
Function or Sequence?
(7, 10, 13, 16, 19, 21)
Sequence
400
Growth by Multiplication or Growth by Addition?
(3.5, 10.5, 31.5, 94.5?
Growth by Multiplication
500
Find the next three terms in the sequence (-4, 5, 14, 19)
28, 37, 46
500
Find the next 4 terms in this sequence (3, 6, 12, 24)
48, 96, 192, 484
500
Find the 7th term.
(6, 12, 18, 24...)
42
500
Function or Sequence?
{1,b} {2,a} {8, b}
Function
500
Growth by Multiplication or Growth by Addition?
(2, 14, 26, 38, 50)
What is Growth by Addition?