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```Sequences
A sequence is an
ordered list of numbers.
Term – Each number in a sequence is
called a term.
Examples:
1,
2,
3,
4,
5
1st
2nd
3rd
4th
5th
term
term
term
term
term
2,
4,
8,
16,
32
1st
2nd
3rd
4th
5th
term
term
term term term
Three Types of Sequences
•Arithmetic sequence – each term is
found by adding the same number
to the previous term.
•Geometric sequence – each term
is found by multiplying the previous
term by the same number.
•Neither – each term is found by
term by a different number
Examples: 1, 2, 4, 7, 11, 16
Rule: Add 1, 2, 3, 4, 5, …
1, 2, 6, 24, 120, 720
Rule: Multiply by 2, 3, 4, 5, 6, …
Describe the pattern of each
sequence and tell whether it is
arithmetic or geometric:
• 8, 13, 18, 23, …
Rule: Add 5 to each term - Arithmetic
• 1, 4, 16, 64, …
Rule: Multiply each term by 4 – Geometric
• 3, 6, 10, 15, …
Rule: Add 3, 4, 5, …to each term - Neither
Determine the next three terms in each
sequence:
• 0, 9, 18, 27, ___, ___, ___
36, 45, 54
• 200, 202, 206, 212, ___, ___, ___
220, 230, 242
• 4, 12, 36, 108, ___, ___, ___
324, 972, 2916
Create a sequence of four terms in
which the first term is 30 and the next
terms are found by multiplying by 3.
Create a sequence of four terms in
which the first term is 25 and the next
terms are found by choosing your own
rule.
```
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