SAT1000 - P876

Given that an infinite sequence {an}\{a_n\} consists of kk distinct values, Sn=i=1naiS_n=\displaystyle \sum_{i=1}^n a_i.

If nN+\forall n \in \mathbb N^+, Sn{2,3}S_n \in \{2,3\}, then find the maximum of kk.


Have a look at my problem set: SAT 1000 problems

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