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Geometric Sequences
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Introduction to definition, identification, and general term of geometric sequences
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Identifying Geometric Sequences
SL Core 1.3
A sequence is geometric if the ratio between consecutive terms is always constant, i.e.
unun+1=ris constant for all n∈N(r=1)🚫
We call r the common ratio.
For instance, the sequence
8,2,21,81…
is geometric with r=41, but
3,6,9,12…
is not since 69=23=2=36.
General Term of a Geometric Sequence
SL Core 1.3
The nth term of a geometric sequence is given by
un=u1rn−1📖
where u1 is the first term and r is the common ratio.
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