Answer
TRUE
Work Step by Step
$\lim\limits_{n \to \infty}(a_{n+3}-a_{n})=\lim\limits_{n \to \infty}a_{n+3}-\lim\limits_{n \to \infty}a_{n}$
Therefore,
$\lim\limits_{n \to \infty}(a_{n+3}-a_{n})=2-2=0$
Hence, the statement is true.
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