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Let a(1),a(2),a(3),"........."a(11) be r...

Let `a_(1),a_(2),a_(3),"........."a_(11)` be real numbers satisfying `a_(1)=15,27-2a_(2)gt0" and "a_(k)=2a_(k-1)-a_(k-2)` for `k=3,4,"…….",11`. If `(a_(1)^(2)+a_(2)^(2)+"........"+a_(11)^(2))/(11)=90`, then the value of `(a_(1)+a_(2)+"........"+a_(11))/(11)` is equal to

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