A geomtric sequence is a sequence of numbers where the ratio between successive terms is a constant. Using $a$ for the first term and $r$ for the ratio, the sequence is then:

Counting $a$ as term number 1, or the first term, we can see that

and so on. The exponent is always one less than number of the term. Thus the $n^{th}$ term is $ar^{n-1}.$

Compare with

CauchySequence (none) (none)
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ArithmeticSequence
GeneralSequence 		MathematicsTaxonomy
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GeometricSequence
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(none)
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(none) (none) (none)

Local neighbourhood - D3

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