Question

Use the geometric mean to find the seventh term in a geometric sequence if the 6th term is 6 and the 8th term is 216

A.)36

B.)106

C.)111

D.)176


Please please please help!!!

Answer 1

A

Explanation:

The geometric mean of 2 values a and b is
`√(ab)`

The 7 th term is the geometric mean of the 6 th and 8 th terms

Hence

`a_(7)` =
`√(6(216))` = 36 → A