Answer:
Sure, the 7th pattern of the sequence of square numbers is:
1, 4, 9, 16, 25, 36, 49, ...
To illustrate this pattern, we can draw squares with each side equal to the next number in the sequence, starting with a square of side length 1. The first square would have an area of 1 square unit, the second square would have an area of 4 square units, and so on. Here is a visual representation of the first seven squares in the sequence:
+---+ +----+
| 1 | | |
+---+ | |
+----+
+---+ +----+
| | | |
| | | |
+---+ +----+
| |
| |
+----+
+---+ +----+
| | | |
| | | |
+---+ +----+
| |
| |
+----+
+---+ +----+
| | | |
| | | |
+---+ +----+
| |
| |
+----+
+---+ +----+
| | | |
| | | |
+---+ +----+
| |
| |
+----+
+---+ +----+
| | | |
| | | |
+---+ +----+
| |
| |
+----+
+---+ +----+
| | | |
| | | |
+---+ +----+
| |
| |
+----+
The pattern continues on with the next square having a side length of 8 units, and an area of 64 square units.