Telescoping and Partial Sums

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A series converges to λ if the limit of the sequence of the n-thpartial sum of the series is equal to λ.
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Presentation transcript:

Telescoping and Partial Sums Chapter 8.2 Telescoping and Partial Sums 23.0 Students demonstrate an understanding of the definitions of convergence and divergence of sequences and series of real numbers. By using such tests as the comparison test, ratio test, and alternate series test, they can determine whether a series converges. Wednesday, August 28, 2019 ESLR -Tracy High Graduates will be Independent Learners Who Set realistic and challenging goals

Telescoping and Partial Sums Chapter 8.2 Telescoping and Partial Sums 23.0 Students demonstrate an understanding of the definitions of convergence and divergence of sequences and series of real numbers. By using such tests as the comparison test, ratio test, and alternate series test, they can determine whether a series converges. Wednesday, August 28, 2019 ESLR -Tracy High Graduates will be Independent Learners Who Set realistic and challenging goals

Show graphing in calculator sum(seq(1/2^n,n,1,n) Graph 1 by hand first Chapter 8.2 Telescoping and Partial Sums 23.0 Students demonstrate an understanding of the definitions of convergence and divergence of sequences and series of real numbers. By using such tests as the comparison test, ratio test, and alternate series test, they can determine whether a series converges. Show graphing in calculator sum(seq(1/2^n,n,1,n) Graph 1 by hand first Talk about sequence of partial sums converging Show how a negative r affects the sequence of partial sums Wednesday, August 28, 2019 ESLR -Tracy High Graduates will be Independent Learners Who Set realistic and challenging goals

Telescoping and Partial Sums Chapter 8.2 Telescoping and Partial Sums 23.0 Students demonstrate an understanding of the definitions of convergence and divergence of sequences and series of real numbers. By using such tests as the comparison test, ratio test, and alternate series test, they can determine whether a series converges. Wednesday, August 28, 2019 ESLR -Tracy High Graduates will be Independent Learners Who Set realistic and challenging goals

Telescoping and Partial Sums Chapter 8.2 Telescoping and Partial Sums 23.0 Students demonstrate an understanding of the definitions of convergence and divergence of sequences and series of real numbers. By using such tests as the comparison test, ratio test, and alternate series test, they can determine whether a series converges. Wednesday, August 28, 2019 ESLR -Tracy High Graduates will be Independent Learners Who Set realistic and challenging goals

v v v v Chapter 8.2 Telescoping and Partial Sums 23.0 Students demonstrate an understanding of the definitions of convergence and divergence of sequences and series of real numbers. By using such tests as the comparison test, ratio test, and alternate series test, they can determine whether a series converges. v v v v Wednesday, August 28, 2019 ESLR -Tracy High Graduates will be Independent Learners Who Set realistic and challenging goals

Practice: Pg. 573 #1, 2, 17-20,33-35, 57-60, 63-68 Chapter 8.2 Telescoping and Partial Sums 23.0 Students demonstrate an understanding of the definitions of convergence and divergence of sequences and series of real numbers. By using such tests as the comparison test, ratio test, and alternate series test, they can determine whether a series converges. Practice: Pg. 573 #1, 2, 17-20,33-35, 57-60, 63-68 Wednesday, August 28, 2019 ESLR -Tracy High Graduates will be Independent Learners Who Set realistic and challenging goals