Knight’s Charge  Quiz #1  When you finish your quiz, pick up the “INIFINITE GEO SERIES” worksheet and begin working on it! NOTE: The original segment is 16 cm long!

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SEQUENCE:

Infinite Geometric Series r =2.... The terms in the sequence are getting larger and larger. Since the terms of the related sequence are getting larger and larger, the sum of the terms has no specific sum (we say the series DIVERGES). Since the terms of the related sequence are getting closer to 0, the sum of the terms is approaching a specific number (we say the series CONVERGES). What does the sum converge to? Infinite Geometric Series

Converge or Diverge? Infinite Geometric Series

Example: Calculate the sum of the sequence: {2, 4, 8, 16,…}  This is a geometric series with r=2. Since r>1, the series DIVERGES and therefore there is no sum. Infinite Geometric Series

Example: Calculate the sum of the sequence: {16, 8, 4, 2, …} Infinite Geometric Series

Example: Calculate the sum of the sequence: {16, -8, 4, -2, …} Infinite Geometric Series

* Multiply by 1-r * Distribute 1.25 * Solve for r.

Example:  A tennis ball dropped from a height of 30 feet bounces 40% of the height from which it fell on each bounce. What is the vertical distance it travels before coming to rest? Infinite Geometric Series

Example: Infinite Geometric Series

Example: Infinite Geometric Series

BINGO Converges812Diverges No Sum

VICTORY LAP

Homework  Pre-precalculus Review sets F-I due TOMORROW  “11-5 Practice” worksheet #1-21 ODD