Sixey Series

Calculus Level 2

Find the value of the infinite series

\[ 1 + \frac{5}{6} + \frac{ 19}{6^2} + \frac{ 65} { 6^3} + \frac{ 211} { 6^4} + \ldots \]

Note: The pattern in the numerators is not immediately obvious. Bert believes that you can figure it out.

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