Question

In a geometric progression, the first tern is 81 and the fourth term is 24. find the common ratio​

Answer 1

Hello,

Let's say a the first term and r the ratio of the G.P.

`u_1=a=81\\u_2=a*r\\u_3=a*r^2\\u_4=a*r^3\\\\(u_4)/(u_1) =(a*r^3)/(a) =r^3=(24)/(81) =(8)/(27) \\\\r=\sqrt[3]{(8)/(27) } \\\\\boxed{r=(2)/(3)}\\`

Answer 2

Explanation:

81/24

= 27/8