11.在数列{an}\{a_{n}\}{an}中,a1=2a_{1}=2a1=2,a2=aa_{2}=aa2=a,且an+1=−an+3n+2(n⩾2,n∈N∗){a_{n+1}}=-{a_n}+3n+2(n\geqslant 2,n\in {N^*})an+1=−an+3n+2(n⩾2,n∈N∗),若数列{an}\{a_{n}\}{an}单调递增,则实数aaa的取值范围为((( )))