Abstract Algebra : mathematical induction
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Prove the following statement
Given the recursively defined sequence a_1= 0, a_2= -30, and a_n=8a_n-1 -15a_n-2, use complete induction to prove that a_n=5*3^n - 3*5^n for all positive integers n.
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Solution Summary
The mathematical induction for abstract algebra are examined. Positive integers recursively defined are determined.
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