Find the fifth term of the geometric sequence with first term 2 and second term \(1/5\).
Since the series is geometric, you have to find the ratio between \(2\) and \(1 \over 5 \). To get from \(2\) to \(1 \over 5\), you multiply by \(1 \over 10\). This means that the \(5\)th term is \({2 \times {1\over10}^4} = {\color {blue} {1\over 5000}}\)