# Oh baby a triple

Number Theory Level 2

If $$n$$ is a positive integer, which of these 3D vectors has a component divisble by 3?

$\begin{array}{lc} \text{A:} & \begin{pmatrix} n \\ n+1 \\ 2n+1 \end{pmatrix} \\ \text{B:} & \begin{pmatrix} n \\ 2n+1 \\ 2^{2015}n+1 \end{pmatrix} \\ \text{C:} & \begin{pmatrix} n \\ 2^{2015}n+1 \\ 2^{2015^{2}}n+1 \end{pmatrix} \end{array}$

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