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Call a sequence x[1.- n] of numbers oscillating if x[i]

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Final answer:

The term 'oscillating' likely refers to a sequence with alternating increases and decreases, but the student's question is incomplete. An example is the sequence -1, 2, -3, 4, -5, etc.

Step-by-step explanation:

It appears that the student's question has been cut off and is incomplete. However, the term 'oscillating' in a mathematical context often refers to a sequence where the values alternate between increasing and decreasing, or in other words, the direction of the change switches with each term.

An oscillating sequence does not settle into a single pattern of increasing or decreasing values, and it can be characterized by changes in sign of the differences between consecutive terms (e.g., positive, negative, positive, etc.). Without the full context, it's not possible to provide a specific answer, but a simple example of an oscillating sequence could be: -1, 2, -3, 4, -5 and so on.

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