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
Find the term in the geometric sequence .
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