Question

use the recursive function for the geometric sequence 2,-6,18 and -54 to represent the 9th term
f(9)=f(8)•(-3)
f(9)=f(1)•(-3)^8
f(9)=f(1)+3(8)
f(9)=f(8)+3(8)
​

Answer 1

Answer:

A

Step-by-step explanation:

A recursive formula allows the term in a sequence to be obtained from the previous term.

To find any term in the sequence multiply the previous term by the common ratio r

r = - 6 ÷ 2 = 18 ÷ - 6 = - 3

Thus the 9 th term can be found using

f(9) = f(8) × - 3 = - 3f(8) → A

Answer 2

The first option is correct.

The following information should be considered:

• A recursive formula permits the term in a sequence to be obtained from the previous term.
• To determine any term in the sequence multiply the previous term by the common ratio r

Now

$r = - 6 \div 2 = 18 \div - 6 = - 3$

So,

the 9th term can be found using

$f(9) = f(8) ] \times - 3$

Learn more: brainly.com/question/17429689