Question

Write an explicit formula for an, then the nth term of the sequence 4, 12, 36, ....

Answer 1

The given sequence is 4, 12, 36

`\begin{gathered} a(n)\text{ = a }\cdot r^{n\text{ - 1}} \\ \text{The common ratio of the sequence is 3} \\ \text{The first term = 4} \\ a(n)\text{ = 4 }\cdot3^{n\text{ - 1}} \end{gathered}`