1. Tardigrade
  2. Question
  3. Mathematics
  4. one of the 5 geometric means between (1/3) and 243 is

Question Error Report

Thank you for reporting, we will resolve it shortly

Back to Question

Q. one of the $5$ geometric means between $\frac{1}{3}$ and $243$ is

Solution:

$a=\frac{1}{3}, b=243, \,g_{1},\, g_{2},\, g_{3},\, g_{4},\, g_{5}$ are
$5$ geometric means $b=a r^{6}$
$243=\frac{1}{3} r^{6}$
$r=3$
$g_{1}=a r=1$
$g_{2}=a r^{2}=3$
$g_{3}=a r^{3}=9$
$g_{4}=a r^{4}=27$
$g_{5}=a r^{5}=81$