1. Grade 11 Functions (MCR3U)
Unit 5: Pascal’s Triangle, Binomial Theorem, Sequences & Series Infinite Geometric Series
Mr. Choi
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2. 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
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3. 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

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

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

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

7. 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
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8. Homework: Text Book: Work Sheet: Infinite Geometric Series
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Infinite Geometric Series
© 2018 E. Choi – MCR3U - All Rights Reserved

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