[Steps Shown] Solve the following difference equation (Towers of Hanoi) using the eigenvalue-eigenvector approach: a_n+1=3a_n-2a_n-1
Question: Solve the following difference equation (Towers of Hanoi) using the eigenvalue-eigenvector approach:
\[{{a}_{n+1}}=3{{a}_{n}}-2{{a}_{n-1}}\] \[{{a}_{0}}=0,{{a}_{1}}=1\]
Deliverable: Word Document 
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