Insert five GM.s between 3 and 192. - Vidyadip

Question

Insert five GM.s between 3 and 192.

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Answer

$\begin{array}{l}3, G_1, G_2, G_3, G_4, G_5, 192 \\\text { Number of terms }=7 \\\begin{array}{ll}\therefore \quad a_7 & =3 \times r^6=192=3 r^6 \\\Rightarrow \quad r & = \pm 2 .\end{array}\end{array}$
So, required 5 geometric means are :
$\pm 6, \pm 12, \pm 24, \pm 48, \pm 96$

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