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QUESTION IMAGE

what row comes next in the pattern?

Question

what row comes next in the pattern?

Explanation:

Analyze the pattern in each row

Row 1: Square, Triangle, Square (Length: 3, Triangle at position 2)
Row 2: Square, Square, Triangle, Square, Square (Length: 5, Triangle at position 3)
Row 3: Square, Square, Square, Triangle, Square, Square, Square (Length: 7, Triangle at position 4)
Row 4: Square, Square, Square, Square, Triangle, Square, Square, Square, Square (Length: 9, Triangle at position 5)

Determine the rule for the next row

Each row \(n\) has \(n\) squares, followed by 1 triangle, followed by \(n\) squares.
The total length of row \(n\) is \(2n + 1\).
For Row 5 (\(n = 5\)):

  • Number of leading squares: 5
  • Position of the triangle: 6
  • Number of trailing squares: 5
  • Total length: 11

Construct the next row

The sequence of shapes for the 5th row is:
Square, Square, Square, Square, Square, Triangle, Square, Square, Square, Square, Square.

Answer:

The next row consists of 5 blue squares, followed by 1 orange triangle, followed by 5 blue squares:

Square, Square, Square, Square, Square, Triangle, Square, Square, Square, Square, Square