Notice that:
[tex]\begin{gathered} 3=(-1)^{1+1}*3^1, \\ -9=(-1)^{2+1}*3^2, \\ 27=(-1)^{3+1}*3^3, \\ -81=(-1)^{4+1}*3^4. \end{gathered}[/tex]Therefore the fifth term of the sequence in the series is:
[tex](-1)^{5+1}*3^5=243.[/tex]Then the sum of the first 5 terms in the given series is:
[tex]3+(-9)+27+(-81)+243=3-9+27-81+243.[/tex]Simplifying the above result we get:
[tex]3-9+27-81+243=183.[/tex]Answer: Option C.
