Given the geometric sequence: -880, -220, - the next term in the sequence is?

-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 .

what are the statements

step-by-step explanation: