Find the indicated term of the geometric sequence.
a = 6, r = -3; Find the 4th term.
This sequence can go two ways: Are you doing an arithmetic sequence or a geometric sequence?
I will do both just in case.
For a geometric sequence, the rate 'r' is -1/2: Thus, the sequence would be:
{6, -3, 1.5, -0.75}
And that would be the answer.
HOWEVER, it is also possible to have an arithmetic sequence. The rate 'r' for that would be -9: Thus, the sequence would be:
{6, -3, -12, -21}
And thus, that is your other answer.
Hmm! The notation used in the question suggests that the first term is a=6 and the geometric progression ratio is r=-3.
If this is the case then the sequence goes
a = 6
ar = -18
ar2 = 54
ar3 = -162
Bah, when I looked at the topic, I thought those were two terms to get started D: