Question

what is the geometric mean of 7 and 11

Answer 1

7/x = x/11

x = sqrt(7 x 11) = sqrt(77), about 8.775

Answer 2

welcome to OS

Answer 3

geomatric mean = (multiplication of all number )^(1/total number )

Answer 4

total number here= 2

Answer 5

for geometric progression:
\[a_n = a_1 r ^{n-1}\]
first thing to do is get the value of r for you to get the mean
let's say that
\[a_3 = 11 ; a_1 = 7; n=3\]
\[11 = 7 r ^{3-1}\]
\[\frac{ 11 }{ 7 } = r ^{2}\]
getting the square root
\[r = \frac{ \sqrt{77} }{ 7 }\]
since the mean in this case is just the second term then you'll have it as:
\[a_2 = 7(\frac{ \sqrt{77} }{ 7 })^{2-1}\]
\[a_2 = \sqrt{77}\]