Competition problem — Algebra — Maths Olympiad Prep

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Algebra Difficulty 4.9 AIME Find the answer

61. Given $a \neq 0, S_{1}=a, S_{2}=\frac{2}{S_{1}}, \cdots, S_{2018}=\frac{2}{S_{2017}}$ , express $S_{2018}=$ in terms of $a$

Your answer

A number or a short expression. Spacing and $ signs are ignored.

Solution

Reference answer: $2 / a$

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