Cho khai triển \(P\left( x \right) = \left( {1 + x} \right)\left( {1 + 2x} \right)...\left( {1 + 2017x} \right) = {a_0} + {a_1}x + .... + {a_{2017}}{x^{2017}}.\) Tính \(T = {a_2} + \dfrac{1}{2}\left( {{1^2} + {2^2} + ... + {{2017}^2}} \right).\)
A.\({\left( {\dfrac{{2016.2017}}{2}} \right)^2}.\)
B.\({\left( {\dfrac{{2017.2018}}{2}} \right)^2}.\)      
C.\(\dfrac{1}{2}{\left( {\dfrac{{2016.2017}}{2}} \right)^2}.\)            
D.\(\dfrac{1}{2}{\left( {\dfrac{{2017.2018}}{2}} \right)^2}.\)

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