Question: Let a be a positive number. Consider the sequence defined recursively by u 1 = a and u n + 1 = - 1 u

Let a be a positive number. Consider the sequence defined recursively by u1=a and un+1=-1un+1 for n=1,2,3,... Find the smallest number d such that {un} is periodic with period d for all values of a.
Let a be a positive number. Consider the sequence

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