Finding the Term of a Geometric Sequence
Given a
geometric sequence
with the first term
and the
common ratio
, the
(or general) term
is given by
.
Example 1:
Find the term in the geometric sequence .
Example 2:
Find the term for the geometric sequence in which and .
Substitute for and for in the formula
.
Solve the firstequation for :
Substitute this expression for in the second equation and solve for .
Substitute for
in the first equation and solve for
.
Now use the formula to find
.
See also: sigma notation of a series and term of a arithmetic sequence