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Let (a1,a2,a3….,a11) be real numbers sat...

Let `(a_1,a_2,a_3….,a_11)` be real numbers satsfying `a_1=15,27-2a_2 gt 0 ` 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_(1))/(11)`
is equal to __________.

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