Describe the pattern, rule, next shape, and reason for each of the three sequences in Table 3.

Here are the patterns for each sequence in Table 3: Sequence 1: Pattern: The sequence consists of squares made of smaller unit squares. The side length of the square increases by one unit in each step. Rule: The n-th shape in the sequence is an n × n square. The number of unit squares in each shape is the square of its position in the sequence (n^2). Next Shape: The next shape would be a 4 × 4 square, containing 16 unit squares. Why: Yes, the next shape can be drawn because the pattern is consistent: the side length of the square increases by 1 unit for each subsequent shape. Sequence 2: Pattern: The sequence consists of a single triangle, and its orientation alternates. Rule: The shape is always a single triangle. Its orientation alternates between pointing upwards and pointing downwards. Next Shape: The next shape would be a single triangle pointing upwards. Why: Yes, the next shape can be drawn because the pattern is a clear alternation of the triangle's orientation. Sequence 3: Pattern: The sequence consists of a horizontal row of circles. The number of circles in the row increases by one in each step. Rule: The n-th shape in the sequence is a row of n circles. The number of circles in the row is equal to its position in the sequence. Next Shape: The next shape would be a row of 5 circles. Why: Yes, the next shape can be drawn because the pattern is consistent: one additional circle is added to the row for each subsequent shape.