9.1 Mathematical Patterns
A sequence is an
ordered list of numbers.
Where do you run into
sequences in your life?
9.1 Mathematical Patterns
Why do I need this?
You just turned 22, you get offered
a job making $30,000 a year. You
were hoping for a better salary, but
you will get a $1500 raise each year.
By the time you're 30 years old,
will you make enough money to
live the way you want?
Let's solve the problem on the previous page:
What is a rule for our sequence?
Which term in the sequence are we
looking for?
How could we find that term in the
sequence?
How could we find our salary when
we're 41 years old if we're in the
same job?
AGE
YEAR TERM
22
0
23
1
24
2
25
3
26
4
27
5
28
6
29
7
30
8
What are we doing to get the next term in the sequence?
a) 6,9,12,15,18...
b) 12, 8, 4, 0, -4
c) 1, 4, 9, 16, 25
d) 2, 5, 10, 17, 26
e) 2, 4, 6, 8, 10, 12
f) 2, 4, 8, 16, 32, 64
Write the next 3 terms in the sequence:
2, 4, 6, 8, ___, ___,___
-3, -1, 1, 3, ___, ___,____
1, 1, 1, 1, ___, ___,____
2 4 8
3, 6, 12, 24, ___, ___,___
32,16,8,___,___,___
4, 1, -2, -5, ___,___,___
Find the 50th term in the sequence:
a) 6,9,12,15,18
b) 0, 8, 16, 24, 36
c) 1,2,4,8,16,32
d) 0, 3, 0, -3, 0, 3, 0 , -3
If the rule for a sequence is given by
Find the first 6 terms of the
sequence. Be sure to use the
correct notation.
What's happening between each
term?
The table above gives the number of
shingles in EACH row. How would the
sequence look if we listed the TOTAL
number of shingles, as we built the
roof?
Why is this different than the last
sequence?
Find the next 3 terms in the sequence:
a) 0, 3, 7, 12, 18...
b) 10, 12, 15, 19, 24...