Question

Use an explicit formula to find the 10th term of the geometric sequence. 6, -24, 96,-384, ...

Answer 1

This sequence is a geometric sequence, and hence

$\begin{gathered} T_N=ar^{n-1} \\ a=6,\text{ r= -4, and n=10} \\ T_{10}=\text{ 6}\times(-4)^9=\text{ -1572864} \end{gathered}$