Find the geometric sequence in which and .
Remember that the formula for the term of a geometric sequence is
where is the first term and is the common ration. For the sequence we are trying to find, we know and we also know that . Using the formula for the term, we can calculate the common ratio as follows:
Therefore, the formula for the term is
Substituting the first few values of into this formula, we can give a representation of the geometric sequence.
Hence, the geometric sequence can be represented as follows: .