Web Reference: As you might guess, a difference equation is an equation that contains sequence differences. We solve a difference equation by finding a sequence that satisfies the equation, and we call that sequence a solution of the equation. A difference equation is an equation that defines a sequence recursively: each term of the sequence is defined as a function of previous terms of the sequence t= f Given constants α and β, a difference equation of the form xn+1 = αxn + β, (1.4.6) equation. Note that the difference equation (1.4.3) is of this form with β = 0. A procedure analogous to t e metho xn = αxn−1 + β = α(αxn−2 + β) + β = α2xn−2 + β(α + 1) = α2(αxn−3 + β) + β(α + 1)
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