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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.