Answer:
96
Step-by-step explanation:
Given that the population of a type of local bass can be found using an infinite geometric series.
I term a1 = 72
Common ratio r = [tex]\frac{1}{4}[/tex]
We know that sum of n terms of geometric series where |r|<1 is
[tex]S_{n} =\frac{a(1-r^n}{1-r}[/tex]
Sum of infinite terms would be limit of this Sn as n tends to infinity.
When r <1 we have r^n will tend to 0 as n tends to infinity.
Hence Sum of infinite terms
=[tex]\frac{a}{1-r} =\frac{72}{1-\frac{1}{4} } \\=96[/tex]
Sum of infinite series = 96
