The design is the visual features of the FILTER CARTRIDGE WITH ADAPTER FOR JUG CONTAINER shown in the drawings, whether those features are features of shape, configuration, ornament or pattern, or a combination of any of those features.The drawings show two variants. In the Drawings:FIG. 1 is a front perspective view of the FILTER CARTRIDGE WITH ADAPTER FOR JUG CONTAINER with long adapter of the first variant;FIG. 2 is a back perspective view of the FILTER CARTRIDGE WITH ADAPTER FOR JUG CONTAINER with long adapter of Fig. 1 of the first variant;FIG. 3 is a left side view of the FILTER CARTRIDGE WITH ADAPTER FOR JUG CONTAINER with long adapter of Fig. 1 of the first variant;FIG. 4 is a right side view of the FILTER CARTRIDGE WITH ADAPTER FOR JUG CONTAINER with long adapter of Fig. 1 of the first variant;FIG. 5 is a top view of the FILTER CARTRIDGE WITH ADAPTER FOR JUG CONTAINER with long adapter of Fig. 1 of the first variant;FIG. 6 is a bottom view of the FILTER CARTRIDGE WITH ADAPTER FOR JUG CONTAINER with long adapter of Fig. 1 of the first variant;FIG. 7 is a front view of the FILTER CARTRIDGE WITH ADAPTER FOR JUG CONTAINER with long adapter of Fig. 1 of the first variant;FIG. 8 is a back view of the FILTER CARTRIDGE WITH ADAPTER FOR JUG CONTAINER with long adapter of Fig. 1 of the first variant;FIG. 9 is a front perspective view of FILTER CARTRIDGE WITH ADAPTER FOR JUG CONTAINER with short adapter of the second variant;FIG. 10 is a back perspective view fo the FILTER CARTRIDGE WITH ADAPTER FOR JUG CONTAINER with short adapter of Fig. 9 of the second variant;FIG. 11 is a left side view of the FILTER CARTRIDGE WITH ADAPTER FOR JUG CONTAINER with short adapter of Fig. 9 of the second variant;FIG. 12 is a right side view of the FILTER CARTRIDGE WITH ADAPTER FOR JUG CONTAINER with short adapter of Fig. 9 of the second variant;FIG. 13 is a top view of the FILTER CARTRIDGE WITH ADAPTER FOR JUG CONTAINER with short adapter of Fig. 9 of the second variant;FIG. 14 is a bottom view of the FILTER CARTRIDGE WITH ADAPTER FOR JUG CONTAINER with short adapter of Fig. 9 of the second variant;FIG. 15 is a front view of the FILTER CARTRIDGE WITH ADAPTER FOR JUG CONTAINER with short adapter of Fig. 9 of the second variant; andFIG. 16 is a back view of the FILTER CARTRIDGE WITH ADAPTER FOR JUG CONTAINER with short adapter of Fig. 9 of the second variant.