Let a1, a2, a3, ,a(11) be real numbers ...

Let `a_1, a_2, a_3, ,a_(11)` be real numbers satisfying `a_1=15 , 27-2a_2>0 a n da_k=2a_(k-1)-a_(k-2)` for `k=3,4, , 11.` If `(a1 2+a2 2+...+a 11 2)/(11)=90 ,` then the value of `(a1+a2++a 11)/(11)` is equals to _______.

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