Chapter 8.2 Geometric Series Wednesday, December 05, 2018 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, December 05, 2018 ESLR -Tracy High Graduates will be Independent Learners Who Set realistic and challenging goals

Chapter 8.2 Geometric Series Wednesday, December 05, 2018 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, December 05, 2018 ESLR -Tracy High Graduates will be Independent Learners Who Set realistic and challenging goals

Proof without words Chapter 8.2 Geometric Series 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. Proof without words Wednesday, December 05, 2018 ESLR -Tracy High Graduates will be Independent Learners Who Set realistic and challenging goals

Chapter 8.2 Geometric Series 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. This is a “geometric” series. Each term is found by multiplying the previous term by a constant ratio. Wednesday, December 05, 2018 ESLR -Tracy High Graduates will be Independent Learners Who Set realistic and challenging goals

Chapter 8.2 Geometric Series Wednesday, December 05, 2018 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, December 05, 2018 ESLR -Tracy High Graduates will be Independent Learners Who Set realistic and challenging goals

Chapter 8.2 Geometric Series Wednesday, December 05, 2018 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, December 05, 2018 ESLR -Tracy High Graduates will be Independent Learners Who Set realistic and challenging goals

Chapter 8.2 Geometric Series Wednesday, December 05, 2018 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, December 05, 2018 ESLR -Tracy High Graduates will be Independent Learners Who Set realistic and challenging goals

Notice that this series starts at n=0 or “term 0”. Chapter 8.2 Geometric Series 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. Notice that this series starts at n=0 or “term 0”. Wednesday, December 05, 2018 ESLR -Tracy High Graduates will be Independent Learners Who Set realistic and challenging goals

Chapter 8.2 Geometric Series Wednesday, December 05, 2018 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, December 05, 2018 ESLR -Tracy High Graduates will be Independent Learners Who Set realistic and challenging goals

Chapter 8.2 Geometric Series Wednesday, December 05, 2018 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, December 05, 2018 ESLR -Tracy High Graduates will be Independent Learners Who Set realistic and challenging goals

Chapter 8.2 Geometric Series Wednesday, December 05, 2018 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, December 05, 2018 ESLR -Tracy High Graduates will be Independent Learners Who Set realistic and challenging goals

Chapter 8.2 Geometric Series Wednesday, December 05, 2018 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, December 05, 2018 ESLR -Tracy High Graduates will be Independent Learners Who Set realistic and challenging goals

Chapter 8.2 Geometric Series Wednesday, December 05, 2018 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, December 05, 2018 ESLR -Tracy High Graduates will be Independent Learners Who Set realistic and challenging goals

Chapter 8.2 Geometric Series Wednesday, December 05, 2018 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, December 05, 2018 ESLR -Tracy High Graduates will be Independent Learners Who Set realistic and challenging goals

Practice: Pg. 573 #7-16, 37-41, 43, 44 Chapter 8.2 Geometric Series 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 #7-16, 37-41, 43, 44 Wednesday, December 05, 2018 ESLR -Tracy High Graduates will be Independent Learners Who Set realistic and challenging goals