Answer:
311.36
Step-by-step explanation:
For a geometric series sum of first n terms is [tex]a(1-r^n)/(1-r)[/tex]
if r is less than 1.
where a is the first term and r is the common ratio.
____________________________\
given
a = 108
r = [tex]\frac{2}{3}.[/tex]
n = 8
thus , sum of n term is
[tex]a(1-r^n)/(1-r)\\=>108(1-(2/3)^8)/(1-2/3)\\=> 108 (1 - 256/6561)/1/3\\=> 108(6561-256)/ 6561/1/3\\=> 108(6305)/2187\\=>311.36[/tex]
Thus sum of first 8 terms is 311.36
