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  A geometric series is a series which follows the pattern, EMBED "Equation" \* mergeformat where EMBED "Equation" \* mergeformat is the initial term and EMBED "Equation" \* mergeformat is a ratio (i.e., EMBED Equation.DSMT4 , EMBED Equation.DSMT4 , EMBED Equation.DSMT4 , etc.). 
  SERIES WITH BOTH POSITIVE AND NEGATIVE TERMS The next sets of series tests are those that apply to series with both negative and positive terms (known as alternating series). 
  An alternating series is a series of the form EMBED "Equation" "Word Object6" \* mergeformat , in other words, a series whose terms alternate between positive and negative. 
 www.utexas.edu /student/utlc/lrnres/mstc/a315/calchandouts/infiniteseries.doc (2062 words) 
