Question
For the G.P.If $r=\frac{1}{3}, a=9$, find $t_7$.
✓
Answer
Given, $r=\frac{1}{3}, a=9$$t_n=a r^{n-1}$
$\therefore \quad t_7=9 \times\left(\frac{1}{3}\right)^{7-1}$
$=\frac{9}{3^6}$
$=\frac{1}{81}$
$\therefore \quad t_7=9 \times\left(\frac{1}{3}\right)^{7-1}$
$=\frac{9}{3^6}$
$=\frac{1}{81}$
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