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Geometric progression — Statistics STD 11 Commerce — Question

Gujarat BoardEnglish MediumSTD 11 CommerceStatisticsGeometric progression3 Marks
Question
Find the product of the first three terms of a $G.P.$ whose second term is $5.$
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Answer

$T_2=5 \therefore 5=$ ar
The product of the first three terms of a $G.P.$
$=T_1 \times T_2 \times T_3$
$=a \times a r \times a r^2$
$=a^3 r^3=(a r)^3$
Putting ar $=5$,
The product of the first three terms of a $G.P.$ $(5)^3=125$.

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