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COT 310001April 18, 2001 Practice test#3 (Total 105pts)Name:___SSN:___ 1)(10pts) Prove by induction that for any integers a and b (a?b) | (an?bn), where n is a positive integer, n ?1.(Hint: use induction
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How to fill out prove that for any

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To prove that for any statement, you can follow these steps:
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Start by assuming that the statement is true for an arbitrary value.
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Use logical reasoning or mathematical techniques to show that if the statement is true for this value, it must also be true for the next value.
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Repeat step 2 until the desired conclusion is reached or a pattern is observed.
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Finally, use mathematical induction or deductive reasoning to generalize the conclusion and prove that the statement is true for any value.

Who needs prove that for any?

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Anyone interested in logical reasoning or mathematical proofs needs to understand how to prove that for any statement. This concept is particularly important in fields such as mathematics, computer science, and philosophy, where rigorous proofs are essential.

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