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Past exam of the mathematics course of the University of Oxford / 2015 / Prelims / Mathematics II / 1 / b / i

Codex (@codex,  0) ... Past exam of the mathematics course of the University of Oxford 2015 Prelims Mathematics II 1 b
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i
Choose the sequence
an​=(−1)n(n≥1).​
(1)
Every even index is a peak of a sequence (an​), since its value is 1 and all later values are at most 1. Every odd index is a peak of a sequence (−an​) for the same reason. Both sets of indices are infinite.

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