Geometric Series Plus a Telescoping Series

Maple Worksheet

Example 1

We could generalize what was done in the example above.

Notice that the numerator in the formula above is just the first term in the infinite series so the formula is really equivalent to the formula for a series starting from n = 0.

Example 2 The graph at the right is a plot of the sequence of partial sums up to S20.

Example 3--A Telescoping Series Determine to what number the series given below converges.

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        Lane Vosbury, Mathematics, Seminole State College   email:  vosburyl@seminolestate.edu

        This page was last updated on 08/21/14          Copyright 2002          webstats