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Numbers and Sequences — MATHS STD 10 — Question

Tamilnadu BoardEnglish MediumSTD 10MATHSNumbers and Sequences2 Marks
Question
Identify the following sequence is in G.P.?
3, 9, 27, 81, …
✓

Answer

$
3,9,27,81, \ldots
$
$r=$ Common ratio
$
r=\frac{t_2}{t_1}=\frac{t_3}{t_2} \text { in G.P. }
$
Here $\frac{t_2}{t_1}=\frac{9}{3}=3$
$
\frac{ t _3}{ t _2}=\frac{27}{9}=3
$
$\therefore$ It is a G.P.

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