Question

Find an explicit rule for the nth term of a geometric sequence where the second and fifth terms are -6 and 162, respectively.

Answer 1

5th term / 2nd term  = r^4 / r  = r^3

r^3 =  162/-6 = -27

so r = -3

a1 * r-3 = -6  so  first term = 2

an = 2. (-3)^(n-1)  Answer 

Its B

Answer 2

The answer is B, I have just confirmed it.