AP Calculus Objective: Understand definition of convergent infinite series and use properties of infinite geometric series.

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AP Calculus Objective: Understand definition of convergent infinite series and use properties of infinite geometric series.

Copyright © Houghton Mifflin Company. All rights reserved. 9-2

A telescoping series is a series whose partial sums eventually only have a fixed number of terms after cancellation (b 1 -b 2 )+(b 2 -b 3 )+(b 3 -b 4 )+…

Find the sum of the series

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Use a geometric series to writeas the ratio of two numbers.

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a.b.c.

A ball is dropped from a height of 6 feet and begins bouncing. The height of each bounce is ¾ the height of each previous bounce. Find the total vertical distance traveled by the ball.

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