In the series it can be observed that every next term is multiplied by -5. So common ratio for the geometric series is -5.
Determine the next term to term -500.
[tex]-500\cdot(-5)=2500[/tex]Determine the term next to 2500.
[tex]2500\cdot(-5)=-12500[/tex]Thus next 2 terms for the series is 2500 and -12500.
