Find the Value at Point E: Number Line Coordinate Analysis

Number Line Patterns with Alternating Intervals

What number appears at the point marked in red?

AAA000BBB444CCC666DDD101010EEE

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1

Understand the problem

What number appears at the point marked in red?

AAA000BBB444CCC666DDD101010EEE

2

Step-by-step solution

First we need to locate the 0 point on the number line.

The next number is 4, meaning a jump of +4.

The number after that is 6, meaning a jump of +2.

The number after that is 10, meaning a jump of +4.

Therefore, the next jump in the sequence is +2 and the exercise will be:

10+2=12 10+2=12

3

Final Answer

12

Key Points to Remember

Essential concepts to master this topic
  • Pattern Recognition: Identify the sequence of jumps between consecutive points
  • Technique: Track intervals: 0→4 (+4), 4→6 (+2), 6→10 (+4)
  • Check: Verify pattern continues: +4, +2, +4, +2 gives E = 12 ✓

Common Mistakes

Avoid these frequent errors
  • Assuming equal spacing between all points
    Don't assume all intervals are the same = wrong pattern! This ignores the actual sequence and gives answers like 11 or 13. Always calculate each interval individually to find the repeating pattern.

Practice Quiz

Test your knowledge with interactive questions

All negative numbers appear on the number line to the left of the number 0.

FAQ

Everything you need to know about this question

How do I know if there's a pattern on the number line?

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Look at the differences between consecutive numbers! Calculate each jump: 0→4 is +4, 4→6 is +2, 6→10 is +4. If these differences repeat, you've found your pattern.

What if I can't see the pattern right away?

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Write down each interval step by step. From the given points: +4, +2, +4. The pattern is alternating between +4 and +2, so the next jump should be +2.

Could the pattern be something other than alternating?

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Yes! Patterns can be arithmetic sequences (same difference), geometric sequences (multiplying), or other rules. Always check what fits the given points best.

Why isn't the answer 11 or 13?

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Those would be correct if the spacing were equal, but it's not! The actual pattern is +4, +2, +4, +2. Since the last jump was +4 (from 6 to 10), the next must be +2: 10+2=12 10 + 2 = 12

How can I double-check my pattern is right?

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Apply your pattern to all the given points. If +4, +2, +4, +2 works: 0+4=4 ✓, 4+2=6 ✓, 6+4=10 ✓, then 10+2=12 is correct!

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