SAT1000 - P461

Algebra Level pending

Given that $\{a_n\}$ is a geometric progression with common ratio $q=\sqrt{2}$ . Let $S_n=\displaystyle \sum_{k=1}^n a_k$ and $T_n=\dfrac{17 S_n - S_{2n}}{a_{n+1}}$ , where $n$ is a positive integer. If $T_{m}$ is the maximum term of sequence $\{T_n\}$ , find $m$ .

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