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Omni-MATH / Find the number of terms n≤2012 such that a_(n)=(3^(n+1)−1)/(2) is divisible by 7.

Problem

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problem

Find the number of terms n≤2012n \leq 2012 such that an=3n+1−12a_{n}=\frac{3^{n+1}-1}{2} is divisible by 7.
Plain-text mathematical notation (without MathML)
Find the number of terms n≤2012 such that a_(n)=(3^(n+1)−1)/(2) is divisible by 7.
Original LaTeX notation
Find the number of terms $n \leq 2012$ such that $a_{n}=\frac{3^{n+1}-1}{2}$ is divisible by 7.

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