Final answer:
The value of a partial sum usually increases as more terms are added, particularly if the sequence contains non-negative terms. However, clarification on the type of series is needed for a definitive answer.
Step-by-step explanation:
When considering the question of how the value of a partial sum changes as more terms are added, it is important to note that this can vary depending on the nature of the series being summed. However, typically when referring to the sums of sequences or series, unless the sequence has both positive and negative terms that may lead to cancellation effects, the most common scenario is that the partial sums tend to increase as more terms are added, given that each term adds value. This would be the case with positive, non-decreasing sequences.
Without additional context or a specific sequence to refer to, it is not possible to provide a definitive answer to this question. Subsequent information or clarification on the nature of the sequence would be necessary for a more precise response.