Question
Identify the following sequence is in G.P.?
120, 60, 30, 18, …
120, 60, 30, 18, …
✓
Answer
$
120,60,30,18, \ldots
$
$
r=\frac{t_2}{t_1}=\frac{t_3}{t_2}=\frac{t_4}{t_3}
$
Here $r$ is not equal i.e. $\frac{60}{120}=\frac{30}{60} \neq \frac{18}{30}$
$\therefore$ It is not a G.P.
120,60,30,18, \ldots
$
$
r=\frac{t_2}{t_1}=\frac{t_3}{t_2}=\frac{t_4}{t_3}
$
Here $r$ is not equal i.e. $\frac{60}{120}=\frac{30}{60} \neq \frac{18}{30}$
$\therefore$ It is not a G.P.
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