Let n be a positive integer and Delta(...

Let n be a positive integer and
`Delta_(r)=|{:(r^(2)+r,r+1,r-2),(2r^(2)+3r-1,3r,3r-3),(r^(2)+2r+3,2r-1,2r-1):}|` and
`sum _(r=1)^(n)Delta_(r)=an^(2)+bn+c` find the value of a+b+c.

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