Question

find 6th term of gp series 8/5, 8/3, 40/9.....​

Answer 1

Answer:

5000/243

Step-by-step explanation:

In this sequence first term = a = 8/5

Common ratio = r = (8/3) / (8/5)

so, r = 5/3

$6^{th} term = ar^{6-1}$

$6^{th} term = \frac{8}{5}*(\frac{5}{3} )^{5}$

$=\frac{8}{5} *\frac{3125}{243}$
$=\frac{5000}{243}$