Question

hat is the nth term of the geometric sequence 4, 8, 16, 32, ... ?


an=2(4)n−1



an=4(2)n−1



an=2(n)4



an=4(n)2


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Answer 1

\(\large\tt \begin{align} \color{black}{ 4, 8, 16, 32, ... \\~\\
\implies 4(1, 2, 4, 8, … )\\~\\
\implies 4(2^0, 2^1, 2^2, 2^3, … )\\~\\
\implies 4(2^{1-1}, 2^{2-1}, 2^{3-1}, 2^{4-1}, … )\\~\\
\Large \implies 4\times 2^{n-1}
}\end{align}\)