Sequence and Series question?!

Find the geometric means of ln3 and ln27.

1 Answer
maganbhai P.
May 18, 2018

#G=sqrt3xxln3#

Explanation:

We know that,

"If #a and b # a re two positive numbers ,

#"then "color(blue)"Geometric Mean "# of #a and b# is :

#G=sqrt(ab)#

We have ,

#a=ln3 and b=ln27=ln3^3=3ln3#

So,

#G=sqrt((ln3)(ln27))#

#G=sqrt((ln3)(3ln3))#

#G=sqrt(3(ln3)^2)#

#G=sqrt3xxln3~~1.9029#

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