Given a geometric sequence where: a3 = –27 and a5 = –162
(a) determine the common ratio.
(b) find the rule for nth term of the sequence.
(c) find a8
(d) find s8

Part a.

We have

Dividing,

Ugh.  It would have killed them to choose a perfect square?

We can't really tell the sign on the common ratio; there's not enough information.  Let's just pick the positive square root going forward.

Part b

Part c

Part d

answer: since the question is talking about growth you have to use the growth formula which is inital amount (1 + growth)^time

step-by-step explanation:

the intial amount is 1200, the growth is 4.8, and the time is 7. plug those numbers into the equation, also i think you have to change 4.8 into a percent. but, i have forgotton how to do that. if this is a online class go on to the lesson.