Question

1. find the 9th term of the geometric sequence defined by the rule:

$f(n) = -2(4)^{(n-1)}$

Explanation:

Step1: Substitute n=9 into formula

$ f(9) = -2(4)^{(9-1)} $

Step2: Simplify the exponent

$ f(9) = -2(4)^8 $

Step3: Calculate $4^8$

$ 4^8 = 65536 $

Step4: Multiply by -2

$ f(9) = -2 \times 65536 $

Answer:

$-131072$