Question

Find the 8th term of the geometric sequence 3, 12, 48,...

Answer 1

`\begin{gathered} \text{The first term is 3, the common ratio is 4} \\ \text{That means;} \\ a=3,r=4 \\ \text{The nth term is } \\ T_n=ar^((n-1)) \\ 8th=3*4^((8-1)) \\ 8th=3*4^7 \\ 8th=3*16384 \\ 8th=49152 \end{gathered}`