The 3rd and 6th terms of a G.P are 108 and -32 respectively.find the common ratio
Let the first term be 'a' and the common ratio be 'r'.
Given that the 3rd term = ar^2 = 108 ... (1)
And the 6th term = ar^5 = -32 ... (2)
Dividing equation (2) by equation (1):
(ar^5)/(ar^2) = -32/108
r^3 = -(4/9)
r = -2/3
Therefore, the common ratio is -2/3.