Question

For an increasing g.p a1,a2,a3,.......,an if a6=4a4 and a9-a7= 192

Answer 1

$a {r}^{5} = 4 \times a {r}^{3} \\ {r}^{2} = 4 \\ r = 2$
Since it is increasing AP, negative value is not considered
$a {r}^{8} - a {r}^{6} = 192 \\ a = \frac{192}{ {2}^{8} - {2}^{6} } = \frac{192}{192} = 1$
Therefore AP is
1, 2, 4, 8, ...