12 112 2 Arithmetic and Geometric Sequences Sequences
- Slides: 21
12. 1/12. 2 – Arithmetic and Geometric Sequences
Sequences • Ordered list of numbers • Each number in the list is called a term of the sequence
Arithmetic Sequences •
Ex: What is the 100 th term of the arithmetic sequence that begins 6, 11, …?
On Your Own: •
Graphing Arithmetic Sequences • The arithmetic sequence 3, 7, 11, 15, 19 has a final term, so it is called a finite sequence and its graph has a countable number of points. • The arithmetic sequence 3, 7, 11, 15, 19, … does not have a final term (indicated by the three dots), so it is called an infinite sequence and its graph has infinitely many points. • Note: Since you cannot show the complete graph of an infinite sequence, you should simply show as many points as the grid allows.
Geometric Sequences •
Recursive and Explicit Definitions for Geometric Sequences •
Ex: What is the 10 th term of the geometric sequence 4, 12, 36, …?
On Your Own: •
Ex: Write a recursive rule and an explicit rule for the geometric sequence that models the situation. Then use the rule to answer the question. The Wimbledon Ladies’ Singles Championship begins with 128 players. Each match, two players play and only one moves to the next round. The players compete until there is one winner. How many rounds must the winner play?