Arithmetic and Geometric Sequences Name __________________ --------- Answer Key--------
1.
Continue the patterns
a)
7, 11, 15, ___, ___, ___, ___
Describe your pattern
-
I started with __7 ___and then I _________added 8_________ each time.
b) 1, 11, 21, ___, ___, ___
Describe your pattern-
I started with _1___ and then I ___added 10________________each time.
These are examples of arithmetic sequences. What is an arithmetic sequence?
An ordered list of numbers where each term is equal to the previous term plus a constant.
2.
Continue the patterns
a) 2, 6, 18, ___, ___, ___, ____
Describe your pattern-
I started with _2_ and then I __multiplied by 3_____________each time. b) 3, 15, 75, ___, ___, ___, ____
Describe your pattern-
I started with ___and then I ___________________________each time. These are examples of geometric sequences. What are geometric sequences?
An ordered list of numbers where each term is equal to the previous term multiplied by a constant.
3.
Write whether the sequence is arithmetic, geometric or neither and describe the pattern.
a) 5, 10, 20, 40 … geometric, I started with 5 and multiplied by 2 each time.
b) 5, 6, 8, 11 … neither, I started with 5 then added 1, then 2, then 3 c) 5, 10, 15, 20 … arithmetic, I started with 5 then added 5 each time