SOL 6.17
Essential Questions:
Types of numerical
patterns
What is the difference between an
arithmetic and a geometric
sequence?
While both are numerical patterns, arithmetic
sequences are additive and geometric sequences
are multiplicative
Complete the next three terms. State
whether the pattern is geometric,
arithmetic, or neither.
Arithmetic
Sequence
(Common Difference)
1. 5, 7, 9, 11, 13, …
2. 1, 2, 4, 7, 11, 16, …
3. 80, 20, 5, 1.25, …
4. 27, 9, 3, 1, 1/3, …
Geometric
Sequence
(Common Ratio)
Strategies to
Determine Patterns
***Directions: Fold in half vertically and cut on
the dash line only***
Copy 1 sided to 2 sided
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EX: 3, 6, 9, 12 … common difference is 3
3, 9, 27, 81 … no common difference
Linear and Exponential Growth
Perfect Squares
Triangular and other Polygonal
Numbers
Fibonacci Numbers
Arithmetic Sequences
Geometric Sequences
A set of numbers arranged so that the
difference between any two consecutive
numbers is the same
Common Difference
The difference between the consecutive
Numbers
EX: 1, 3, 9, 27, 81 … common ratio is 3
8, 4, 2, 1, ½, ¼ … common ratio is ½
A set of numbers arranged so that the ratio
between any two consecutive sequence
elements is constant
Common Ratio
The number each tem is multiplied by to
get the next term
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Examine the difference between each
term, is it common? Arithmetic
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Examine the ratio between each term, is
it common? Geometric