If sediments from a weathered sedimentary rock become cemented together, they will form another sedimentary rock.

Here's why:

* Sedimentary Rocks: These rocks are formed by the accumulation and cementation of sediments.

* Weathering: This process breaks down rocks into smaller pieces (sediments) through physical and chemical processes.

* Cementation: This process occurs when dissolved minerals in groundwater precipitate out between sediment grains, binding them together.

So, the cycle continues:

1. Existing sedimentary rock weathers.

2. The weathered material becomes sediments.

3. These sediments are transported and deposited.

4. Over time, the sediments are cemented together, forming a new sedimentary rock.