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To find the explicit formula, we first solve the homogeneous part of the recurrence relation \( a_n = 2a_{n-1} \), which gives \( a_n = C \cdot 2^n \) for some constant \( C \). Next, we find a particular solution for the non-homogeneous recurrence. Trying a constant solution \( a_n = A \):
A = 2A - 3 \im
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