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In this first recurrence-relations episode, we take the linear homogeneous recurrence aₙ = −4aₙ₋₁ + 21aₙ₋₂ and carve out both the general closed form and a specific solution from initial conditions (a₀ = 1, a₁ = 8). We build the characteristic equation, factor it, use the zero-product principle, and then pin down the ...
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