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Geometric Sequences
Introduction to definition, identification, and general term of geometric sequences
Introduction to definition, identification, and general term of geometric sequences
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A sequence is geometric if the ratio between consecutive terms is always constant, i.e.
We call ​r​ the common ratio.
For instance, the sequence
is geometric with ​r=41​, but
is not since ​69​=23â€‹î€ =2=36​.
The ​nth​ term of a geometric sequence is given by
where ​u1​​ is the first term and ​r​ is the common ratio.