Grade 11 Functions (MCR3U)

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Presentation transcript:

Grade 11 Functions (MCR3U) Unit 5: Pascal’s Triangle, Binomial Theorem, Sequences & Series Infinite Geometric Series Mr. Choi © 2018 E. Choi – MCR3U - All Rights Reserved

Recall: Geometric Series sum of terms of a geometric sequence. The sum of the first n terms in the series is denoted is Infinite Geometric Series © 2018 E. Choi – MCR3U - All Rights Reserved

Infinite Geometric Series sum of terms of a geometric sequence. If , then becomes very small (approaching to ZERO as n increasing) Example: If then and Infinite Geometric Series © 2018 E. Choi – MCR3U - All Rights Reserved

Example 1 – Evaluate the following Find the sum of the Geometric series. Infinite Geometric Series © 2018 E. Choi – MCR3U - All Rights Reserved

Example 1 – Evaluate the following Find the sum of the Geometric series. Infinite Geometric Series © 2018 E. Choi – MCR3U - All Rights Reserved

Example 1 – Evaluate the following Find the sum of the Geometric series. Infinite Geometric Series © 2018 E. Choi – MCR3U - All Rights Reserved

Try!!! In the figure, each square is inscribed in a circle and circumscribes another circle. The process is continued infinitely. If the radius of the largest circle is 20 cm, find the sum of a) the circumferences of the circles; b) the area of the squares. Infinite Geometric Series © 2018 E. Choi – MCR3U - All Rights Reserved

Homework: Text Book: Work Sheet: Infinite Geometric Series Check the website for updates Infinite Geometric Series © 2018 E. Choi – MCR3U - All Rights Reserved

End of Lesson Infinite Geometric Series © 2018 E. Choi – MCR3U - All Rights Reserved