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\[\large x_n=2^n \cos n\theta\]

For the given sequence we know that \(\large x_2=-\frac{28}{9}\) and \(\large x_3=- \frac{184}{27}.\)

If \(x_4=\dfrac{A}{B},\) where \(A\) and \(B\) are coprime positive integers, find \(A+B.\)

See Part 2.

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