Question

Am I doing this correctly
Use the geometric mean to find the 7th term in a geometric sequence if the 6th term is 75 and the 8th term is 48.

A) 60***
B) 66
C) 57
D) 51.5
E) 59
F) 68

r^2 = 48/75 = 16/25
r = 4/5 7th term = 75 * 4/5 = 60

Answer 1

The geometric mean is the nth root of the product of n numbers.


a7 = √ ( 75 * 48 )

a7 = √3600 = 60

Answer 2

Thanks for the help and showing me an easier way to do it.

Answer 3

You're welcome.