This mathematics problem involves applying core mathematical principles and formulas. Below you will find a complete step-by-step solution with detailed explanations for each step, helping you understand not just the answer but the method behind it.
Which shape comes next in the sequence?

ScanSolve AI Answer
3 stepsTo solve this abstract reasoning question, we need to identify the pattern in the sequence of shapes. Each box contains a 2x2 grid with four positions: Top-Left (TL), Top-Right (TR), Bottom-Left (BL), and Bottom-Right (BR).
Let's analyze the shapes and their positions in each box:
Box 1:
- TL: Filled Down Arrow
- TR: Empty Up Arrow
- BL: Filled Up Arrow
- BR: Empty House (triangle on top of a square)
Box 2:
- TL: Filled Down Arrow
- TR: Empty House
- BL: Filled Up Arrow
- BR: Empty Up Arrow
Box 3:
- TL: Filled Down Arrow
- TR: Empty Up Arrow
- BL: Filled Up Arrow
- BR: Empty House
Box 4:
- TL: Filled Down Arrow
- TR: Empty House
- BL: Filled Up Arrow
- BR: Empty Up Arrow
Identifying the Pattern:
- Top-Left (TL) Position: The shape in the Top-Left position is consistently a Filled Down Arrow in all four boxes.
- Bottom-Left (BL) Position: The shape in the Bottom-Left position is consistently a Filled Up Arrow in all four boxes.
- Top-Right (TR) and Bottom-Right (BR) Positions: These two positions show an alternating pattern:
- In Box 1 and Box 3: TR has an Empty Up Arrow, and BR has an Empty House.
- In Box 2 and Box 4: TR has an Empty House, and BR has an Empty Up Arrow.
The sequence alternates between the configuration of (Box 1 / Box 3) and (Box 2 / Box 4).
Predicting the Next Shape:
Since the sequence is (Box 1), (Box 2), (Box 3), (Box 4), the next shape (the 5th shape) should follow the pattern of Box 1 and Box 3.
Therefore, the next shape in the sequence should have:
- Top-Left: Filled Down Arrow
- Top-Right: Empty Up Arrow
- Bottom-Left: Filled Up Arrow
- Bottom-Right: Empty House
The options for the next shape are not visible in the provided image. Based on the identified pattern, the next shape should be:
- A grid with a Filled Down Arrow in the top-left.
- An Empty Up Arrow in the top-right.
- A Filled Up Arrow in the bottom-left.
- An Empty House in the bottom-right.
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