2, 6, 18, 54,
Find the common ratio of the given sequence, and write an exponential function which represents the sequence. Use n = 1, 2, 3, ...
A) 3; f(n) = 2(3)n-1
B) 1/3; f(x) = 2(3)n-1
C) 3; f(n) = 2(1/3^)n-1
D) 1/3; f(n) = 2(1/3^)n-1

8doors on the second floor

Ithink so 1.you go to your profile and your questions and you'll be able to delete them

So the first thing we do is to multiply the top equation by 3. the reason i want to do this is i notice there will be a 6y on both equations and can possibly add/subtract them. so we get 6y = -3x + 27. adding that and the second equation we get 6x = 27-15 which is 12. divide by 6 and we get 2. ∴ x = 2. substituting 2 into the first equation we get 2y = -2 + 9 which is 7. divide by 2 and we get 7/2. ∴ y = 7/2, x = 2.