In a certain sequence, the term \(x_n\) is given by the formula

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In a certain sequence, the term \(x_n\) is given by the formula \(x_n=2 \cdot x_{n−1}−\dfrac{1}{2} \cdot x_{n−2}\) for all \( n \geq 2. \) If \( x_0=3\) and \(x_1=2,\) what is the value of \(x_3?\)

(A) \(2.5\)
(B) \(3.125\)
(C) \(4\)
(D) \(5\)
(E) \(6.75\)

Answer:C

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