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Sequences and Series (p-1) — Maths (commerce) STD 11 Commerce / Arts — Question

Maharashtra BoardEnglish MediumSTD 11 Commerce / ArtsMaths (commerce)Sequences and Series (p-1)1 Mark
Question
Verify whether the following sequences are G.P. If so, write tn. : $7,14,21,28, \ldots$. .
✓

Answer

$7,14,21,28, \ldots .$.
$t_1=7, t_2=14, t_3=21, t_4=28, \ldots .$.
Here, $\frac{t_2}{t_1}=2, \frac{t_3}{t_2}=\frac{3}{2}, \frac{t_4}{t_3}=\frac{4}{3}$
Since, $\frac{\mathrm{t}_2}{\mathrm{t}_1} \neq \frac{\mathrm{t}_3}{\mathrm{t}_2} \neq \frac{\mathrm{t}_4}{\mathrm{t}_3}$
$\therefore$ the given sequence is not a geometric progression.

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