Question

Complete the recursive formula of the geometric sequence -0.6.3, -15, 75, ....

Answer 1

Answer:

$c(n)=-5c(n-1)\\c(1)=-0.6$

Step-by-step explanation:

Given the geometric sequence

-0.6, 3, -15, 75, ...

Common ratio, $r=\dfrac{3}{-0.6} =\dfrac{-15}{3}=-5$

The next term, $c(n)$ is obtained by multiplying the previous term c(n-1) by -5.

Therefore, the recursive formula for the sequence is:

$c(n)=-5c(n-1)\\c(1)=-0.6$