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Home  >>  JEEMAIN and AIPMT  >>  Mathematics  >>  Class11  >>  Sequence and Series
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Find 3 Geometric means between $\large\frac{1}{3}$ and 432.

$\begin{array}{1 1} 9,27,81 \\ 6,36,216 \\ 3,81,216 \\ 2,12,72 \end{array}$

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Answer : (d) 2,12,72
Explanation : $\large\frac{1}{3},\large\frac{r}{3},\large\frac{r^2}{3},\large\frac{r^3}{3},432\;in\;GP$
$432=\large\frac{r^4}{3}\quad\;r^4=1296=6^4$
$r=6\quad\;GMs\;are\;\large\frac{r}{3},\large\frac{r^2}{3},\large\frac{r^3}{3}$
$=2,12,72.$
answered Jan 3, 2014 by yamini.v
edited Jan 24, 2014
 

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