Question

Find the general term an for the geometric sequence.
\[a_{1}=-2\] and \[a_{2}=6\]
\[a_{n}=\]

Answer 1

Divide a2 by a1 and you have the ratio. Then, divide a1 by that to get your initial term a0 and the formula will be an=a0*r^n

Answer 2

1.5

Answer 3

@Numb3r1

Answer 4

No, 6/-2 does not equal 1.5.

Answer 5

ohhh!! I divided it by -3

Answer 6

instead

Answer 7

its -3

Answer 8

@Numb3r1

Answer 9

Yup. Now divide -2 by that for the initial term, and your formula will be an=a0*(-3)^n

Answer 10

i did and i got 1.5

Answer 11

@Numb3r1

Answer 12

No, divide -2/-3, not -3/-2. 1/1.5 will give you the same answer.

Answer 13

0.6

Answer 14

0.66666666666666 is closer, but to be perfectly correct, 2/3 is best.

Answer 15

oh!! since it can't be factored it becomes 2/3. DUH!!!

Answer 16

@Numb3r1 so my answer is 2/3?

Answer 17

an=a0*r^n
an=(2/3)*(-3)^n

Answer 18

i dont get it :(

Answer 19

\[\frac{ 2 }{ 3}\left( -3 \right)^{n}\]

Answer 20

@Numb3r1

Answer 21

@e.mccormick can you help?

Answer 22

Yah, that was it in the end.