Common Ratio of a Geometric ProgressionDate: 6/6/96 at 8:26:58 From: Anonymous Subject: Can common ratio of a G.P be 1? Can the common ratio of a geometric progression be equal to 1 OR -1? Date: 6/14/96 at 0:51:46 From: Doctor Brian Subject: Re: Can common ratio of a G.P be 1? Yes it can. It makes for very boring progressions, of course. Sometimes a textbook will offer a question such as "identify the type of sequence," and then the problem will read: 6,6,6,6,6..... This kind of constant sequence can be thought of as both a geometric sequence with ratio 1, or an arithmetic sequence with difference 0. -Doctor Brian, The Math Forum Check out our web site! http://mathforum.org/dr.math/ |
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