1. No category

Sequences:
A sequence is an ordered list of numbers called terms. The position that the terms are in are called ranks.
* The value of the number in the sequence is called the term
* The order or place that the number is in is called it's rank( 1st place, 2nd place...)
Example: 0,1,4,9,16
The #4 in the example above is in the _______ rank
The term value of the 3rd rank is _________.
Example 2: 10, 20, 30, 40, 50, 60
What is the rank of the term 40?
What term has a rank of 2?
Common sequences and filling out tables
a) t=2r : What does this expression mean in words?
_______________________________________
Fill out the table:
Rank
Term
1
2
3
4
5
b) t = 2r - 1 : ______________________________
Rank
1
2
3
4
5
4
5
Term
c) t = 2r + 1: ________________________________
Rank
Term
1
2
3
d) t = r2: ________________________________
Rank
1
2
3
4
5
4
5
Term
e) t = r3: __________________________________
Rank
1
2
3
Term
Finding the rule of a sequence:
To find the rule of a sequence you should follow these steps:
List your sequence in a table using TERM & RANK
Try to figure out a pattern of operations (what can do to each rank to get to get the term below?
Example: 5, 7, 9, 11, 13
Fill out the table:
Rank
1
2
3
4
5
3
4
5
Term
Rule: ___________________________
You try some:
a) 3, 4, 5, 6, 7...
Rank
1
2
Term
Rule: ______________________________________
b) 6, 9, 12, 15, 18...
Rank
1
2
3
4
5
3
4
5
Term
Rule: ____________________________________
c) 9, 16, 25, 36, 49...
Rank
1
2
Term
Rule: ____________________________________________________
Hint*** If you notice a pattern that is going up or down by the same number each time, that is always the number you
multiply r (rank) by. Then you just have to figure out if you need to add or subtract a number.
Example: 5, 8, 11, 14, 17
Rank
1
2
3
4
5
Term
Rule: _________________________________________________
Checking your Rule:
Once you figure out a rule for a sequence, replace one of the rank numbers into your rule and make sure you get the
term value that you should.