Given data:
The given terms are -13, 97,-1003, 9997.
As the terms have alternatively positive negative signs, so they can't be in AP.
The expression for the common ratio is,
[tex]\begin{gathered} \frac{97}{-13}=\frac{-1003}{97} \\ 97^2=1003\times13 \\ 9409\ne13039 \end{gathered}[/tex]Thus, the above series is neither in Arithematic progression nor in Geometric progression.
