Find the
n
^{th}
Geometric Sequence Term
A geometric sequence goes from one term to the next by always multiplying (or dividing) by the same value. (common ratio
r
)
a
_{n}
=a
_{1}
r
^{(n-1)}
n
is the position of the term in the sequence
a
is the first number in the set (the starting number)
r
is the common ratio (the value multiplying or
)
Find the
7
^{th}
term of the geormetic sequence starting at
3
and being multiplied by
2
:
a
_{n}
=
a
_{1}
r
^{(n-1)}
becomes
3
_{7}
=
3
_{1}
2
^{(7-1)}
a
_{}
=
_{1}
^{(n-1)}
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©Jeff LeMieux, revised 2/2014