Answer:
The sum of next 8 terms is 292,968
Step-by-step explanation:
Here, the sequence is 3, 15, 75 , ...
Since the given term is in geometric progression, so
[tex]r = \frac{a_2}{a_1} = \frac{a_3}{a_2}[/tex]
And here, r = 15/ 3 = 5
So, a = 3
r = 5
n = 8
So, sum of n terms of G. P [tex]S_n= \frac{a(r^{n} -1)}{(r-1)}[/tex]
or, [tex]S_8= \frac{3(5^{8} -1)}{(5-1)}[/tex]
= 292,968
Hence, the sum of next 8 terms is 292,968.
