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NT disguised as Algebra

Source: Indian TST 2019 Practice Test 1 P3

July 17, 2019
algebra

Problem Statement

Let n≥2n\ge 2 be an integer. Solve in reals: ∣a1−a2∣=2∣a2−a3∣=3∣a3−a4∣=⋯=n∣an−a1∣.|a_1-a_2|=2|a_2-a_3|=3|a_3-a_4|=\cdots=n|a_n-a_1|.
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