Introduction:
Partitioned memory allocation is a memory management scheme where the main memory is divided into fixed-size partitions to accommodate multiple processes. The allocation of these partitions to processes is done using different allocation algorithms like best fit and first fit. The superiority of these algorithms depends on the sequence of memory requests.

Explanation:
- Best fit algorithm: In the best fit algorithm, the memory partition that is closest in size to the process size is allocated to the process.
- First fit algorithm: In the first fit algorithm, the first available partition that is large enough to accommodate the process is allocated to the process.

Comparison:
- The statement "Best fit algorithm is always better than the first fit algorithm" is incorrect. Both algorithms have their own advantages and disadvantages, and their superiority depends on the sequence of memory requests.
- The best fit algorithm is generally considered better when the memory requests are small and there is a high degree of fragmentation. It allocates the smallest possible partition that can accommodate the process, which helps in minimizing fragmentation.
- The first fit algorithm, on the other hand, is generally considered better when the memory requests are large and there is a low degree of fragmentation. It quickly finds the first available partition that can accommodate the process, reducing the time required for allocation.

Sequence of memory requests:
- The superiority of the first fit and best-fit algorithms depends on the sequence of memory requests. If the memory requests are such that both algorithms can find suitable partitions for all processes, then the best fit algorithm would be better as it minimizes fragmentation.
- However, if the memory requests are such that the first fit algorithm can quickly find suitable partitions for most processes, while the best fit algorithm struggles to find suitable partitions due to fragmentation, then the first fit algorithm would be better in that scenario.

Conclusion:
In conclusion, the statement that the superiority of the first fit and best-fit algorithms depends on the sequence of memory requests is correct. It is important to consider the characteristics of the memory requests and the level of fragmentation in order to determine which algorithm would be more efficient in a given scenario.