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Discrete Mathematics Level 4

1+13+13⋅36+13⋅36⋅59+13⋅36⋅59⋅712+⋯=2cos⁡θ 1+\dfrac{1}{3}+\dfrac{1}{3}\cdot\dfrac{3}{6}+\dfrac{1}{3}\cdot\dfrac{3}{6}\cdot\dfrac{5}{9}+\dfrac{1}{3}\cdot\dfrac{3}{6}\cdot\dfrac{5}{9}\cdot\dfrac{7}{12}+\cdots=2\cos\theta

Find the value of θ\theta in degrees if 0≤θ≤π0 \le \theta \le π .

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