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CharacteristicEquation.md (310B)

      1 # Characteristic Equation
      2 
      3 Ch 8.2
      4 
      5 **Definition:** A characteristic equation is an equation for a linear homogeneous recurrence relation that uses a_n = r^n to substitute into the equation.
      6 
      7 Original:
      8 $a_n = c_1a_{n-1}+c_2a_{n-2}+...+c_ka_{n-k}$
      9 
     10 Characteristic Equation:
     11 $r^k-c_1r^{k-1}-c_2r^{k-2}-...-c_k=0$