Find the Missing Number: Grid Point Value at Red Marker

Q: How can I check if 10/3 is correct?

Test the pattern: 90 ÷ 3 = 30, 30 ÷ 3 = 10, 10 ÷ 3 = 10/3. Each division by 3 confirms the geometric sequence continues correctly.

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

Try different operations systematically! First check addition/subtraction (differences), then multiplication/division (ratios). Write out your calculations to spot the pattern.

Q: Do I need to convert 10/3 to a decimal?

No! Keep it as a fraction $ \frac{10}{3} $ because it's exact. Converting to 3.333... loses precision and might not match the answer choices.

Geometric Sequences with Fractional Values

What number appears at the point marked in red?

❤️ Continue Your Math Journey!

We have hundreds of course questions with personalized recommendations + Account 100% premium

Step-by-step video solution

Watch the teacher solve the problem with clear explanations

Step-by-step written solution

Follow each step carefully to understand the complete solution

Understand the problem

What number appears at the point marked in red?

Step-by-step solution

First let's look at the numbers on the axis from left to right:

$90,30,10$

Now we can try to find the common denominator.

Note that if we divide 90 by 3, then we get 30.

If we divide 30 by 3, then we get 10.

Therefore, if we divide 10 by 3, then we will get our answer:

$\frac{10}{3}$

Final Answer

$\frac{10}{3}$

Key Points to Remember

Essential concepts to master this topic

Pattern Recognition: Identify the common ratio between consecutive terms
Technique: Divide each term by 3: 90÷3=30, 30÷3=10, 10÷3=10/3
Check: Verify pattern continues: 10/3 ÷ 3 = 10/9 for next term ✓

Common Mistakes

Avoid these frequent errors

Assuming the pattern is addition or subtraction
Don't look for differences like 90-30=60, then 30-10=20 = inconsistent pattern! This leads to wrong answers because the sequence uses multiplication, not addition. Always check if terms have a constant ratio by dividing consecutive terms.

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 it's multiplication or addition?

Check both! If differences are constant (like 5, 5, 5), it's addition (arithmetic). If ratios are constant (like ÷3, ÷3, ÷3), it's multiplication (geometric).

Why is the answer a fraction instead of a whole number?

When you divide by 3 repeatedly, you eventually get fractions! 10 ÷ 3 = 10/3 because 10 doesn't divide evenly by 3. This is perfectly normal in geometric sequences.

How can I check if 10/3 is correct?

Test the pattern: 90 ÷ 3 = 30, 30 ÷ 3 = 10, 10 ÷ 3 = 10/3. Each division by 3 confirms the geometric sequence continues correctly.

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

Try different operations systematically! First check addition/subtraction (differences), then multiplication/division (ratios). Write out your calculations to spot the pattern.

Do I need to convert 10/3 to a decimal?

No! Keep it as a fraction $\frac{10}{3}$ because it's exact. Converting to 3.333... loses precision and might not match the answer choices.

🌟 Unlock Your Math Potential

Get unlimited access to all 18 Signed Numbers (Positive and Negative) questions, detailed video solutions, and personalized progress tracking.

📹

Unlimited Video Solutions

Step-by-step explanations for every problem

📊

Progress Analytics

Track your mastery across all topics

🚫

Ad-Free Learning

Focus on math without distractions

No credit card required • Cancel anytime