Day 1 sequence notes work.notebook
Do Now: Take out notebooks and copy the following!!!
Arithmetic Sequences ­ if the difference of any two consecutive terms is constant.
Geometric Sequence ­ if the ratio of any two consecutive terms is constant.
Neither Sequence: If a sequence is not arithmetic or geometric, it is a neither sequence. However, there is a pattern and the next three terms can be found.
Objective: (A2.A.29) Students will identify an arithmetic or geometric sequence and find the formula for it' "n"th term Find the next three terms of the following arithmetic sequences:
1) 2, 6, 10, 14, ...
2) 24, 17, 10, ...
3) 3, 8, 13, 18, ...
Day 1 sequence notes work.notebook
Find the next three terms of the following geometric sequences:
1) 1, 3, 9, ...
2) 64, 32, 16, ...
3) 4, 8, 16, ...
Find the next three terms of the following neither sequences:
1) 1, 2, 5, 10, 17, ...
2) 1, 4, 9, 16, ...
3) 11, 101, 1001, 10001, ...
Day 1 sequence notes work.notebook
Determine if the following sequences are arithmetic, geometric, or neither and then determine the next three terms:
1) 30, 26, 22, 18,...
2) 1, 4, 16, ...
3) 15, 7, ­1, ­9, ...
4) 1, ­3, 5, ­7, ...
Fibonacci Sequence
1, 1, 2, 3, 5, 8, 13, 21, ...(sometimes begins with 0)
Researched by Leonardo of Pisa (Fibonacci) 1202
­ although known in India before his time Fibonacci numbers occur in biological settings
­ branches in trees
­ fruitlets of a pineapple
­ arrangement of a pine cone
Day 1 sequence notes work.notebook
Fibonacci­Style sequence examples:
1) 2, 2, 4, 6, 10, 16, ...
2) 3, 3, 6, 9, 15, ...
*3) 4, 5, 6, 8, 11, 16, 24, ...
Day 1 sequence notes work.notebook
Fibonacci Rabbits
Day 1 sequence notes work.notebook