1. 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

2. 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

3. 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

4. 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

5. 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

6. 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

7. 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

8. 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

9. 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

10. 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

11. 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

12. 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

13. 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

14. 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

15. 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