the given series is,
-3,6,-12,24,-48,...
the first term is a = -3
common ratio is, r = 6/-3 = -2
the 15th term of the above series will be,
[tex]=ar^{n-1}[/tex]here n = 15
[tex]=-3\times(-2)^{15-1}[/tex][tex]\begin{gathered} =-3\times(-2)^{14} \\ =-3\times16384 \end{gathered}[/tex]= 49,152
thus, the answer is 49,152
