Answer: -13.75
Step-by-step explanation:
In geometric sequence
, where each term is given by :-
, where r= common ratio
a= first term.
n= Number of term
The given geometric sequence : -880, -220, -55,...
First term : 
Second term : 
Now , 
Now , the next term will be the 4th term , so for n=4 , we have
Fourth term =
Put value of a and r , we get
Fourth term =(-880)(\dfrac{1}{4})^3=\dfrac{-880}{64}=-13.75[/tex]
Hence, the next term in the sequence is -13.75 .