To what recurrence does that correspond

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Reference no: EM131239721

Suppose that you are given the roots to a characteristic equation, and they are -1,2, and -3.

(a) What is the characteristic equation?

(b) To what recurrence does that correspond?

(c) Find initial conditions so that an = (-1)ⁿ is the closed form for the recurrence. Use the recurrence to generate a few more terms to be sure your initial conditions work.

(d) Find initial conditions so that an = (-1)ⁿ + 2ⁿ is the closed form for the recurrence. Use the recurrence to generate three additional terms to be sure your initial conditions work.

(e) Find initial conditions so that an = (-1)ⁿ + 2ⁿ + (-3)ⁿ is the closed form for the recurrence. Use the recurrence to generate three additional terms to be sure your initial conditions work.

Reference no: EM131239721

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