Abstract algebra-mathematical induction

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Reference no: EM13120787

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.

Reference no: EM13120787

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