Geometric Pattern Analysis: Predicting the Fifth Element in a Visual Sequence

Pattern Recognition with Geometric Progression

Which shape will appear in the fifth element of this sequence?

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Step-by-step video solution

Watch the teacher solve the problem with clear explanations
00:00 Find the next element in the sequence
00:03 Let's identify the pattern of the sequence
00:15 Let's count the arrows and observe the change from element to element
00:20 This is the pattern of the sequence, we'll use it to find the next element
00:29 And this is the solution to the question

Step-by-step written solution

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Understand the problem

Which shape will appear in the fifth element of this sequence?

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Final Answer

Key Points to Remember

Essential concepts to master this topic
  • Pattern Rule: Each figure adds one more X-crossing at the bottom
  • Technique: Count X-marks: 1st has 0, 2nd has 1, 3rd has 2
  • Check: 5th figure should have 4 X-crossings below the circle ✓

Common Mistakes

Avoid these frequent errors
  • Focusing only on the vertical line instead of counting X-crossings
    Don't just look at the line getting longer = missing the actual pattern! The key pattern is the number of X-shaped crossings increasing by one each time. Always count the X-crossings systematically from top to bottom.

Practice Quiz

Test your knowledge with interactive questions

Look at the following set of numbers and determine if there is any property, if so, what is it?

\( 94,96,98,100,102,104 \)

FAQ

Everything you need to know about this question

How do I identify what's changing in the pattern?

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Look for systematic changes between consecutive figures. In this sequence, notice that each figure has a circle at top, a vertical line, and X-shaped crossings that increase by one each time.

What if I see multiple things changing?

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Focus on the most obvious pattern first. Here, the number of X-crossings is the main pattern - the line length changes too, but that's just to accommodate more crossings.

How do I know which answer choice is correct?

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Count carefully! The 5th figure should have 4 X-crossings (since the pattern goes 0, 1, 2, 3, 4...). Look for the answer with exactly 4 X-marks below the circle.

Why does the first figure have no X-crossings?

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That's the starting point of the pattern! Just like counting 0, 1, 2, 3... the sequence begins with zero crossings and adds one more each time.

What if I miscounted the crossings?

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Go back and count systematically: Point to each X-crossing and count aloud. Make sure you're looking at the crossings, not just the individual diagonal lines.

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