An indicated sum of successive terms of a sequence.

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Multiple Choice

An indicated sum of successive terms of a sequence.

Explanation:
A series is the sum of the terms of a sequence. When you talk about the sum of successive terms, you’re describing the series—the object formed by adding those terms, whether for a finite number of terms or an infinite process. The other words don’t fit this idea: a product would multiply terms, a fraction would form a ratio, and while a sum is the result of adding terms, the standard term for the entire process of combining the sequence’s terms is series. If you’re adding a finite number of terms, you’re dealing with partial sums of a series; if you keep adding forever, you have an infinite series that may converge or diverge.

A series is the sum of the terms of a sequence. When you talk about the sum of successive terms, you’re describing the series—the object formed by adding those terms, whether for a finite number of terms or an infinite process. The other words don’t fit this idea: a product would multiply terms, a fraction would form a ratio, and while a sum is the result of adding terms, the standard term for the entire process of combining the sequence’s terms is series. If you’re adding a finite number of terms, you’re dealing with partial sums of a series; if you keep adding forever, you have an infinite series that may converge or diverge.

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