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Geometric Sequence


dessskris

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I am just asking about geometric sequences in general.

We define a geometric sequence as follows, right?

a, ar, ar2, ar3, ar4, ar5, ..., arn

Is there any limitation on the values of a and r? Or particularly, can a and r be zero? If a and/or r are/is zero, would the sequence be considered a geometric one?

Thanks a lot beforehand!

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No i do not think there are any limitations. a and r can be any value.. However I do not think you can get a geometric sequence with a ratio as zero.

cause remember to find the ratio we normally divide the second term by the first term. or the third term by the second term,.. etc

lets take for example:

0,2,4,8,16

we get a as zero however this would not work as a geometric sequence because the value of r is not consistent.

4/2 = 2, 8/4 = 2, 16/8 = 2, However 2/0 is undefined..

Hope that answers your question :D

Edited by fan
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