Motivating Examples

 

Infinite Series

Three questions which involve finding the sum of a geometric series, writing infinite decimals as the quotient of integers, determining whether fifteen different series converge or diverge, and using Riemann sums to show a bound on the series of sums of 1/n.

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Basic Definition of Infinite Series

Five questions which involve finding whether a series converges or diverges, finding the sum of a series, finding a rational expression for an infinite decimal, and finding the total distance traveled by a ball as it bounces up and down repeatedly.

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