Think First!

Consider the sequence \(a_0,a_1,\ldots\) where \(a_0=\frac{3}{11},\) \(a_1 = -6,\) and \(a_n= a_{n+1}+a_{n-1}\) for \(n\ge 1.\) Find the value of: \[a_{23}+a_{24}+a_{25}+a_{26}+a_{27}+a_{28}.\]

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