Answer:
b)Divergent
Step-by-step explanation:
Given is a series
-5+25-125+....
We find that this is following a pattern such that each term is multiplied by -5 to get the next term
In other words, this series is a geometric series with common ratio r =-5 and I term a=-5
Since sum of n terms of geometric series =[tex]\frac{a(r^n-1)}{r-1} =\frac{-5{(-5)^n-1}}{-5-1}[/tex]
Since |r|=|-5|>1, we find that this sum tends to infinity or -infinity as n tends to infinity
In other words, the series diverges
