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1.3 - 2014 Q9

9) You are given that n, n + 1 and n + 2 are three consecutive integers.

i) Expand and simplify n2 + (n+1)2 + (n+2)2.

ii) For what values of n will the sum of the squares of these three consecutive integers be an even number? Give a reason for your answer. (2)
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