4. Let x be a real number such that t = x + x − 1 is an integer greater
than 2. Prove that t n = x n + x − n is an integer for all positive
• Start each question on a fresh sheet of paper. Write
on one side of the paper only. On each sheet of
integers n. Determine the values of n for which t divides t n .
working write the number of the question in the
top left hand corner and your name, initials and
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