Final answer:
The sequence of transformations is a translation 5 units down and 2 units to the right followed by a reflection across the y-axis to produce L'M'N' from LMN.
Step-by-step explanation:
The correct sequence of transformations to produce L'M'N' from LMN is a translation 5 units down and 2 units to the right followed by a reflection across the y-axis.
To perform the translation, we move each point of the original figure down 5 units and to the right 2 units. Then, to perform the reflection across the y-axis, we mirror each point of the translated figure across the y-axis. The resulting figure is L'M'N'.