Question

*80 points to the best answer*

What is the recursive rule for this geometric sequence?

−64,−16,−4,−1,...

Enter your answers in the boxes.

Answer 1

`a_n=\left\{\begin{array}{ccc}a_1=-64\\a_(n+1)=a_n:4\end{array}\right\\\\check:\\a_1=-64\\a_2=a_1:4\to a_2=-64:4=-16-OK\\a_3=a_2:4\to a_2=-16:4=-4-OK\\a_4=a_3:4\to a_4=-4:4=-1-OK\\\vdots`