Question

What is the explicit equation for the nth term of the geometric sequence 6, 12, 24, ...?

Answer 1

\(\large\tt \begin{align} \color{black}{6,12,24,48.....\\~\\
\implies 6(1,2,4,8......)\\~\\
\implies 6(2^0,2^1,2^2,2^3.......)\\~\\
\implies 6(2^{1-1},2^{2-1},2^{3-1},2^{4-1}.......)\\~\\
\Large \implies 6\times 2^{n-1}}\end{align}\)