Question 29
Given the progression $$
\begin{gathered} 10^{\frac{1}{11}},10^{\frac{2}{11}},10^{\frac{3}{11}},\\ 10^{\frac{4}{11}},\ldots,10^{\frac{n}{11}}, \end{gathered}
$$ the least positive integer $n$ such that the product of the first $n$ terms exceeds $100{,}000$ is:
\begin{gathered} 10^{\frac{1}{11}},10^{\frac{2}{11}},10^{\frac{3}{11}},\\ 10^{\frac{4}{11}},\ldots,10^{\frac{n}{11}}, \end{gathered}
$$ the least positive integer $n$ such that the product of the first $n$ terms exceeds $100{,}000$ is: