Question
Given a real number `a` such that `a+1/a` is an integer. Prove that `a^n+1/a^n` is also an integer for every natural number `n`.
Difficulty level (1 very easy - 10 very hard): 4
Topics:
Number Theory
Combinatorics
->
Induction (Mathematical Induction)
Algebra
->
Algebraic Techniques
Proof and Example
Algebra
->
Sequences
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