Question
Identify the following sequence is in G.P.?
$4, 44, 444, 4444, .....$
$4, 44, 444, 4444, .....$
✓
Answer
$4,44,444,4444, \ldots \ldots$
$r=\frac{t_2}{t_1}=\frac{44}{4}=11 $
$r=\frac{t_3}{t_2}=\frac{444}{44}=\frac{111}{11} $
$11 \neq \frac{111}{11}$
$\therefore$ It is not a G.P.
$r=\frac{t_2}{t_1}=\frac{44}{4}=11 $
$r=\frac{t_3}{t_2}=\frac{444}{44}=\frac{111}{11} $
$11 \neq \frac{111}{11}$
$\therefore$ It is not a G.P.
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