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Geometric Progressions — Maths STD 11 Science — Question

Maharashtra BoardEnglish MediumSTD 11 ScienceMathsGeometric Progressions3 Marks
Question
Find k such that $\text{k}+9,\text{k}-6$ and 4 from three consecutive terms of a G.P.
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Answer

$\text{k}+9,\text{k}-6,4 \text{ are in G.P.}$
$(\text{k}-6)^2=(\text{k}+9)4$
$\text{k}^2+36-12\text{k}=4\text{k}+36$
$\text{k}^2-16\text{k}=0$
$\text{k}(\text{k}-16)=0$
$\text{k}=0,\text{k}=16$

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