Reach for the Summit - M-S3-A1

Algebra Level 3

Given a positive infinite sequence {an}\{a_n\}, Sn=k=1nakS_n = \displaystyle \sum_{k=1}^{n} a_k.

If nN+\forall n \in \mathbb N^+, the arithmetic mean of ana_n and 22 is equal to the geometric mean of SnS_n and 22, then find a2020a_{2020}.


Reach for the Summit problem set - Mathematics

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