Question

Find the three geometric means between 2 and 162.

Answer 1

6,18,54

Answer 2

yes - those are the correct answers

Answer 3

the numbers 2,6,18,54,162 ar a geometric series

2 is the first term and 162 is the 5th ( as there are 3 geometric means )

therefore r^2 = 162/2 = 81

r is the 4th root of 81

so the series is
2 , 2*3 , 2*3^2, 2*3^3 , 2* 3^4
= 2, 6 , 18, 54 , 162

6 , 18 and 54 are the 3 geometric means

Answer 4

* that is r^4 = 162/2 = 81 ( on the 4th line)
the 4th root of 81 is 3

Answer 5

oh i kinda see now