Question

Find the $7^{th}$ term of the GP whose first term is 6 and common ratio is $\frac{2}{3}$.

Answer 1

Here,

$t_1=6$ and $r=\frac{2}{3}$

$t_n=a.r^{n-1}$

$t_7=\left(6\right)(\frac{2}{3}{)}^6=\frac{128}{243}$