Q .     Let `a_1, a_2, a_3`,` ldots, a_11` be real numbers satisfying `a_1=15,27-2a_2 > 0` and `a_k=2a_(k-1)-a_(k-2)` for `k=3,4, ldots, 11`. If `frac(a_1^2+a_2^2+ldots+a_11^2)(11)=90`, then the value of `frac(a_1+a_2+ldots+a_11)(11)` is equal to

JEE 2010 ADVANCED Paper 2
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