(n-1) squared + n + (n+1)squared = 3n +2
= (n-1)^2 + n + (n+1)^2 = n^2 - 2n + 1 + n + n^2 + 2n + 1 = 2n^2 + n + 2 ≠ 3n+2 the statement is false
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