Question

-81, 108, -144, 192, ...

Answer 1

Answer:

C

Step-by-step explanation:

The terms form a geometric sequence with common ratio r

r = $\frac{a_{2} }{a_{1} }$ = $\frac{a_{3} }{a_{2} }$ = ......

r = $\frac{108}{-81}$ = $\frac{-144}{108}$ = - $\frac{4}{3}$

The n th term formula of a geometric sequence is

$a_{n}$ = a $(r)^{n-1}$ ← a is the first term

here a = - 81, hence

f(x) = - 81$(-\frac{4}{3}) ^{x-1}$ → C