Final answer:
Without a clear pattern in the sequence of denominators, it is not possible to evaluate the product of reciprocals from 1/(24) to 1/(1820). A calculator would be necessary to perform such an extensive multiplication of reciprocal values.
Step-by-step explanation:
To evaluate the expression "1/(24) * 1/(46) * 1/(68) ... * 1/(1820)", we first identify a pattern or rule governing the sequence of the denominators. However, without additional information on how the sequence progresses (e.g., if there is a constant difference or ratio between each term), we lack sufficient information to solve this directly. Based on the given terms, it is not clear what the next term in the sequence would be or if there is a formula describing the general term of the sequence.
In general, to evaluate a product of reciprocals like this, you would simply multiply all the reciprocal values together. If there's a discernible pattern, there may be a simpler way to represent and calculate the product. Without a clear pattern, you would have to calculate each reciprocal individually and then multiply all of the results together, which is not feasible to perform in one's head or manually without significant effort and risk of error—a calculator would be more suitable for such a task.