Question

Which of the following is the explicit rule for a geometric sequence defined by a recursive formula of

Answer 1

Answer:

C

Step-by-step explanation:

The explicit formula for a geometric sequence is

$a_{n}$ = a$(r)^{n-1}$

where a is the first term and r the common ratio

From the recursive formula

$a_{n}$ = - 9$a_{n-1}$

The common ratio r = - 9 and with a = 300, then

$a_{n}$ = 300$(-9)^{n-1}$ → C