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Let a1,a2,a3 ...... a11 be real numbers ...

Let a1,a2,a3 ...... a11 be real numbers satisfying `a_1 =15, 27-2a_2 > 0 and a_k= 2a_(k-1) - a_(k-2)` for `k=3,4,.....11` If `(a1^2 +a2^2.......a11^2)/11 = 90` then find the value of `(a_1+a_2....+a_11)/11`

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