Question

What are the next 2 terms and are they geometric, arithmetics, or neither4,-20,100,-500 _, _,

Answer 1

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.

`-500\cdot(-5)=2500`

Determine the term next to 2500.

`2500\cdot(-5)=-12500`

Thus next 2 terms for the series is 2500 and -12500.