Question
For the G.P.
If $a=\frac{7}{243}, r=3$, find $t_6$
✓
Answer
Given, $a=\frac{7}{243}, r=3$
$\begin{aligned} t _{ n } & = ar ^{ n -1} \\ \therefore \quad t _6 & =\frac{7}{243} \times(3)^{6-1} \\ & =\frac{7}{243} \times 3^5 \\ & =7\end{aligned}$
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