Complete the Number Sequence: Finding Missing Terms Around 3001

Q: How do I know this is asking for consecutive integers?

The format □, 3001, □ with boxes right next to 3001 suggests we need the numbers immediately before and after. Consecutive integers are the simplest and most common sequence pattern.

Q: What if the sequence had a different pattern?

The problem would give you more information or more numbers to establish the pattern! With just one number given, consecutive integers (±1) is the standard assumption.

Q: Why can't the answer be 3000 and 3200?

Because 3200 - 3001 = 199, not 1! In a consecutive sequence, each number must be exactly 1 more than the previous number.

Q: How do I find the predecessor and successor quickly?

Predecessor: Subtract 1 from the given numberSuccessor: Add 1 to the given numberIt's that simple for consecutive integers!

Consecutive Integers with Four-Digit Numbers

Fill in the missing numbers:

$\Box,3001,\Box$

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Step-by-step written solution

Follow each step carefully to understand the complete solution

Understand the problem

Fill in the missing numbers:

$\Box,3001,\Box$

Step-by-step solution

To solve this problem, we need to determine the numbers directly before and after 3001 in a consecutive integer series.

Let's follow these steps:

Step 1: Find the predecessor of 3001.
Step 2: Find the successor of 3001.

Step 1: To find the predecessor, we subtract 1 from 3001:

$3001 - 1 = 3000$

Step 2: To find the successor, we add 1 to 3001:

$3001 + 1 = 3002$

Therefore, the missing numbers that precede and succeed 3001 consecutively are $3000$ and $3002$ , respectively.

The correct answer is choice 1: $3000, 3002$ .

Final Answer

$3000,3002$

Key Points to Remember

Essential concepts to master this topic

Pattern: Consecutive integers increase by exactly 1 each step
Technique: Subtract 1 for predecessor: $3001 - 1 = 3000$
Check: Verify sequence flows smoothly: 3000, 3001, 3002 increases by 1 ✓

Common Mistakes

Avoid these frequent errors

Assuming the sequence has a pattern other than +1
Don't look for complex patterns like +100 or +200 = wrong answers like 3100, 3200! The boxes indicate missing terms in a simple consecutive sequence. Always check if numbers differ by exactly 1 for consecutive integers.

Practice Quiz

Test your knowledge with interactive questions

Select the predecessor of the number 2100:

FAQ

Everything you need to know about this question

How do I know this is asking for consecutive integers?

The format □, 3001, □ with boxes right next to 3001 suggests we need the numbers immediately before and after. Consecutive integers are the simplest and most common sequence pattern.

What if the sequence had a different pattern?

The problem would give you more information or more numbers to establish the pattern! With just one number given, consecutive integers (±1) is the standard assumption.

Why can't the answer be 3000 and 3200?

Because 3200 - 3001 = 199, not 1! In a consecutive sequence, each number must be exactly 1 more than the previous number.

How do I find the predecessor and successor quickly?

Predecessor: Subtract 1 from the given number
Successor: Add 1 to the given number

It's that simple for consecutive integers!

What if I got confused by the large number 3001?

Don't let big numbers intimidate you! The same rule applies whether it's 5, 6, 7 or 3000, 3001, 3002. Focus on the +1 pattern, not the size of the numbers.

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