Identify the following sequence is in G.P.? 0.5, 0.05, 0.005, … - Vidyadip

Question

Identify the following sequence is in G.P.?
$0.5, 0.05, 0.005, …$

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Answer

$0.5,0.05,0.005, \ldots $
$r=\frac{t_2}{t_1} $
$=\frac{0.05}{0.5} $
$=\frac{0.05 \times 100}{0.5 \times 100} $
$=\frac{5}{50}=\frac{1}{10} $
$r=\frac{t_3}{t_2} $
$=\frac{0.005}{0.05} $
$=\frac{0.005 \times 1000}{0.05 \times 1000} $
$=\frac{5}{50}=\frac{1}{10} $
$r=\frac{1}{10}=\frac{1}{10} $
$\therefore$ It is a G.P.

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