SAT1000 - P461

Algebra Level pending

Given that {an}\{a_n\} is a geometric progression with common ratio q=2q=\sqrt{2}. Let Sn=k=1nakS_n=\displaystyle \sum_{k=1}^n a_k and Tn=17SnS2nan+1T_n=\dfrac{17 S_n - S_{2n}}{a_{n+1}}, where nn is a positive integer. If TmT_{m} is the maximum term of sequence {Tn}\{T_n\}, find mm.


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