10.1: Sequences and Summation Notation - PowerPoint PPT Presentation

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10.1: Sequences and Summation Notation

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10.1: Sequences and Summation Notation TSW understand the definition and notation of sequences, understand recursively- defined sequences, including the Fibonacci ... – PowerPoint PPT presentation

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Title: 10.1: Sequences and Summation Notation


1
10.1 Sequences and Summation Notation
  • TSW understand the definition and notation of
    sequences, understand recursively- defined
    sequences, including the Fibonacci sequence, and
    understand partial sums, including summation
    notation at an 85 mastery level as
    demonstrated by discussion and practice.

2
Definition of Sequence
  • A sequence is a set of numbers written in a
    specific order a1, a2, a3, , an
  • A sequence is also a function f whose domain is
    the set of natural numbers. The values f (1), f
    (2), f (3), are called the terms.

3
Finding Terms of a Sequence
4
Detecting Patterns
5
Recursively Defined Sequences
6
Partial Sums of a Sequence
7
Partial Sums
8
Sigma Notation
9
Sigma Notation
10
Properties of Sums
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