Question

find the general term \[a _{n}\] for the geometric sequence \[a_{1}=-2\] and \[a_{2}=6\]

Answer 1

find the general term \[a _{n}\] for the geometric sequence \[a_{1}=-2\] and \[a_{2}=6\]

Answer 2

what is 6/(-2)?

Answer 3

-3 @Zarkon

Answer 4

\[-2=-2\cdot (-3)^0\]
\[6=-2\cdot(-3)^1\]
\[\cdots\]

Answer 5

I'm confused... I see how you get the 6 but what are the steps to finding the answer i need to be correct

Answer 6

so the general term would be -3???

Answer 7

\[a_1=-2(-3)^0=-2(-3)^{1-1}\]
\[a_2=-2(-3)^1=-2(-3)^{2-1}\]
\[a_3=-2(-3)^2=-2(-3)^{3-1}\]
\[\vdots\]
\[a_n=\cdots\]

Answer 8

the common ratio is -3, but that is not the general term

Answer 9

Oh I see

Answer 10

well I have to go over the study plan because I have no clue what Im supposed to be doing here