Algebra 2 CH 7.1 Define and Use Sequences and Series.notebook
Algebra 2 CH 7.1 Define and Use Sequences and Series.notebook
Define and Use Sequences and Series 7.1 Define and Uses Sequences and Series • Sequence
February 07, 2013
Define and Use Sequences and Series A sequence is a function whose domain is a set of consecutive integers.
• Terms • summation notation
The terms are the range.
• Σ
Jan 232:57 PM
Define and Use Sequences and Series Domain: 1 2 3 4 ... n
Range: a1 a2 a3 a4 ... an
Jan 232:57 PM
Define and Use Sequences and Series
Find the first four terms of a n=3n4 Domain: 1
2 3
4
Range: a1=1 a2=2 a3=5 a4=8 Jan 232:57 PM
Define and Use Sequences and Series
Jan 232:57 PM
Define and Use Sequences and Series Sigma Notation upper limit of summation
A series is the sum of the terms in a sequence. There are finite series and infinite series. index of summation
Jan 232:57 PM
lower limit of summation
Jan 232:57 PM
1
Algebra 2 CH 7.1 Define and Use Sequences and Series.notebook
Define and Use Sequences and Series
February 07, 2013
Define and Use Sequences and Series
What does this mean?
This is a finite series.
Jan 232:57 PM
Define and Use Sequences and Series
Jan 232:57 PM
Define and Use Sequences and Series
This is an infinite series.
This is an infinite series.
Jan 232:57 PM
Jan 232:57 PM
Define and Use Sequences and Series
Define and Use Sequences and Series
Write the series using summation notation.
What is i ?
What is n ?
Jan 232:57 PM
Jan 232:57 PM
2
Algebra 2 CH 7.1 Define and Use Sequences and Series.notebook
Define and Use Sequences and Series
February 07, 2013
Define and Use Sequences and Series
Write the series using summation notation.
What is i ?
What is n ?
Jan 232:57 PM
Define and Use Sequences and Series
Jan 232:57 PM
Define and Use Sequences and Series
Write the series using summation notation.
What is i ?
What is n ?
Jan 232:57 PM
Define and Use Sequences and Series Special Summation Formulas
Jan 232:57 PM
Define and Use Sequences and Series Sum of n terms of 1
Sum of n terms of 1
EXAMPLE
Jan 232:57 PM
Jan 232:57 PM
3
Algebra 2 CH 7.1 Define and Use Sequences and Series.notebook
Define and Use Sequences and Series Special Summation Formulas Sum of first n positive integers
Jan 232:57 PM
Define and Use Sequences and Series Special Summation Formulas Sum of squares of first n positive integers
Jan 232:57 PM
February 07, 2013
Define and Use Sequences and Series Sum of first n positive integers
Jan 232:57 PM
Define and Use Sequences and Series Sum of squares of first n positive integers
Jan 232:57 PM
Define and Use Sequences and Series 7.1 Define and Uses Sequences and Series • Sequence • Terms • summation notation • Σ
Jan 232:57 PM
4
Define and Use Sequences and Series 7.1 Define and Uses Sequences and Series • Sequence
February 07, 2013
Define and Use Sequences and Series A sequence is a function whose domain is a set of consecutive integers.
• Terms • summation notation
The terms are the range.
• Σ
Jan 232:57 PM
Define and Use Sequences and Series Domain: 1 2 3 4 ... n
Range: a1 a2 a3 a4 ... an
Jan 232:57 PM
Define and Use Sequences and Series
Find the first four terms of a n=3n4 Domain: 1
2 3
4
Range: a1=1 a2=2 a3=5 a4=8 Jan 232:57 PM
Define and Use Sequences and Series
Jan 232:57 PM
Define and Use Sequences and Series Sigma Notation upper limit of summation
A series is the sum of the terms in a sequence. There are finite series and infinite series. index of summation
Jan 232:57 PM
lower limit of summation
Jan 232:57 PM
1
Algebra 2 CH 7.1 Define and Use Sequences and Series.notebook
Define and Use Sequences and Series
February 07, 2013
Define and Use Sequences and Series
What does this mean?
This is a finite series.
Jan 232:57 PM
Define and Use Sequences and Series
Jan 232:57 PM
Define and Use Sequences and Series
This is an infinite series.
This is an infinite series.
Jan 232:57 PM
Jan 232:57 PM
Define and Use Sequences and Series
Define and Use Sequences and Series
Write the series using summation notation.
What is i ?
What is n ?
Jan 232:57 PM
Jan 232:57 PM
2
Algebra 2 CH 7.1 Define and Use Sequences and Series.notebook
Define and Use Sequences and Series
February 07, 2013
Define and Use Sequences and Series
Write the series using summation notation.
What is i ?
What is n ?
Jan 232:57 PM
Define and Use Sequences and Series
Jan 232:57 PM
Define and Use Sequences and Series
Write the series using summation notation.
What is i ?
What is n ?
Jan 232:57 PM
Define and Use Sequences and Series Special Summation Formulas
Jan 232:57 PM
Define and Use Sequences and Series Sum of n terms of 1
Sum of n terms of 1
EXAMPLE
Jan 232:57 PM
Jan 232:57 PM
3
Algebra 2 CH 7.1 Define and Use Sequences and Series.notebook
Define and Use Sequences and Series Special Summation Formulas Sum of first n positive integers
Jan 232:57 PM
Define and Use Sequences and Series Special Summation Formulas Sum of squares of first n positive integers
Jan 232:57 PM
February 07, 2013
Define and Use Sequences and Series Sum of first n positive integers
Jan 232:57 PM
Define and Use Sequences and Series Sum of squares of first n positive integers
Jan 232:57 PM
Define and Use Sequences and Series 7.1 Define and Uses Sequences and Series • Sequence • Terms • summation notation • Σ
Jan 232:57 PM
4
