1.
If a,b,ca, b, c are in AP, then x+1x+2x+ax+2x+3x+bx+3x+4x+c\begin{vmatrix} x+1 & x+2 & x+a \\ x+2 & x+3 & x+b \\ x+3 & x+4 & x+c \end{vmatrix} equals: