Honors Pre-Calc Trig 8.1 Notes Sequences and...
Transcript of Honors Pre-Calc Trig 8.1 Notes Sequences and...
Honors Pre-Calc Trig8.1 NotesSequences and Series
Sequence collection ordered such that it has a first member, second member, third member, and so on.
Mathematically, think of a sequence as a ___________ whose domain is the set of positive integers, written in subscript notation.
‐ Definition of Sequence
An infinite sequence is a function whose domain is the set of positive integers. The function values
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are the terms of the sequence. A sequence is finite if it only asks for the first n positive integers.
Types of Sequences
There are two different types of sequences that we have seen and talked about so far today:
Arithmetic Sequences
A sequence is arithmetic if the differences between consecutive terms are the same.
For instance the sequence 1,4,7,10,13,16,19... is an arithmetic sequence.
Geometric Sequences
A sequence is geometric if the ratios of consecutive terms are the same.
For instance the sequence 2,4,8,16,... is a geometric sequence.
Neither
See page 2 examples
State whether the sequence rule is Algebraic, Geometric, or Neither.
Your Homework assignment for tonight is to complete 18 on the Sequences 8.1 worksheet that I handed out in class.