Work Step by Step
If we have a sequence with $n$ terms, (e.g. $2,3,4,5$, $n=4$), then we have $n-1=3$ differences: $5-4=4-3=3-2=1$ and $n-2=2$ second differences: $(5-4)-(4-3)=(4-3)-(3-2)=0$. Thus the statement is false.
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