Answer
The recursive formula is $a_{1}$=2 and $a_{n}$=$a_{n-1}$ $\times$ -4.
Work Step by Step
Use the recursive formula $a_{1}$=a, $a_{n}$=$a_{n-1}$$\times$r.
The starting value is 2 so it is the $a_{1}$
You have the sequence 2,-8,32 so use the common ratio formula(r=$\frac{{a_{2}}}{{a_{1}}}$) r=$\frac{-8}{2}$=-4 and r=$\frac{32}{-8}$=-4.So the common ratio is -4.Substitute the value of a1 and R into the recursive formula:
The recursive formula is $a_{1}$=2 and $a_{n}$=$a_{n-1}$ $\times$ -4.
