3/200-3/110-3/90-3/72-3/56-...-3/2

The expression you provided seems to be a sequence of terms that can be organized into two parts, with each part repeating a pattern.

To clarify the sequence you wrote, let's break it down:

1. **First half of the sequence**:
- \( \frac{3}{200}, \frac{3}{110}, \frac{3}{90}, \frac{3}{72}, \frac{3}{56}, \ldots \)

2. **Second half of the sequence**:
- \( \frac{3}{200}, \frac{3}{110}, \frac{3}{90}, \frac{3}{72}, \frac{3}{56}, \ldots, \frac{3}{2} \)

It looks like the first half of the sequence involves the fractions decreasing toward a minimum denominator, and then it seems to repeat the same terms while going down to a lower limit in the second half.

### Identifying the pattern

The denominators of the fractions of the first part seem to decrease, and a few specific steps can show this more explicitly. Let's examine the denominators:

- $200$
- $110$
- $90$
- $72$
- $56$

It's not straightforward what pattern leads from each denominator to the next just by looking; however, they all decrease. The second half of your expression repeats part of the first half's fractions and then seems to continue.

To visualize and break it down completely, it’s essential to analyze how the sequence behaves as it approaches \( \frac{3}{2} \) at the end of the second half.

### Conclusion

From the fragment you've provided, it may be seeking:

1. **The continuation of the pattern of fractions.**
2. **Summation of these fractions.**
3. **A pattern recognition in terms of their arrangement.**

If you require further analysis or a specific operation (like summation or convergence), please clarify how you want to manipulate this sequence.