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In any sequence of \(n\) nonzero numbers, a pair of consecutive terms with opposite signs represents a sign change. For

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by VJesus12 » Sun Apr 25, 2021 11:41 am

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In any sequence of \(n\) nonzero numbers, a pair of consecutive terms with opposite signs represents a sign change. For example, the sequence \(-2, 3, -4, 5\) has three sign changes. Does the sequence of nonzero numbers \(s_1, s_2, s_3, \ldots, s_n\) have an even number of sign changes?

(1) \(s_k=(-1)^k\) for all positive integers \(k\) from \(1\) to \(n.\)
(2) \(n\) is odd.

Answer: C

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