Complete the Sequence: Finding Missing Values Around 6700

Q: What does consecutive mean in math?

Consecutive means numbers that follow each other in order with no gaps. Like counting: 5, 6, 7, 8. Each number is exactly 1 more than the previous number.

Q: How do I find the number that comes before?

To find the predecessor (number before), subtract 1 from your given number. For 6700, the predecessor is $ 6700 - 1 = 6699 $.

Q: How do I find the number that comes after?

To find the successor (number after), add 1 to your given number. For 6700, the successor is $ 6700 + 1 = 6701 $.

Q: Why can't the answer be 6699, 6710?

Because 6710 is 10 more than 6700, not 1 more! In consecutive sequences, each number must be exactly 1 unit apart from the next.

Q: What if the sequence had bigger jumps like +10?

Then it wouldn't be consecutive integers anymore! It would be an arithmetic sequence with a common difference of 10. Always check what type of sequence you're working with.

Number Sequences with Consecutive Integers

Fill in the missing values:

$\Box,6700,\Box$

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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 values:

$\Box,6700,\Box$

Step-by-step solution

To solve this problem, we'll follow these steps:

Step 1: Identify the number provided in the sequence, which is 6700.
Step 2: Determine the predecessor of the number 6700.
Step 3: Determine the successor of the number 6700.

Now, let's work through each step:

Step 1: The number given in the sequence is 6700.

Step 2: The predecessor of 6700 is found by subtracting 1:
$6700 - 1 = 6699$ .

Step 3: The successor of 6700 is found by adding 1:
$6700 + 1 = 6701$ .

Therefore, the consecutive sequence around the number 6700 is $6699, 6700, 6701$ .

The correct sequence with the missing values filled in is: $6699, 6701$ .

Final Answer

$6699,6701$

Key Points to Remember

Essential concepts to master this topic

Sequence Rule: Consecutive numbers increase by exactly 1 each step
Technique: Find predecessor: 6700 - 1 = 6699, successor: 6700 + 1 = 6701
Check: Verify each number follows the previous: 6699, 6700, 6701 increases by 1 ✓

Common Mistakes

Avoid these frequent errors

Adding or subtracting by 10 or 100 instead of 1
Don't use 6700 - 10 = 6690 or 6700 + 100 = 6800 for consecutive sequences! This creates gaps between numbers instead of the required step-by-step pattern. Always add or subtract 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

What does consecutive mean in math?

Consecutive means numbers that follow each other in order with no gaps. Like counting: 5, 6, 7, 8. Each number is exactly 1 more than the previous number.

How do I find the number that comes before?

To find the predecessor (number before), subtract 1 from your given number. For 6700, the predecessor is $6700 - 1 = 6699$ .

How do I find the number that comes after?

To find the successor (number after), add 1 to your given number. For 6700, the successor is $6700 + 1 = 6701$ .

Why can't the answer be 6699, 6710?

Because 6710 is 10 more than 6700, not 1 more! In consecutive sequences, each number must be exactly 1 unit apart from the next.

What if the sequence had bigger jumps like +10?

Then it wouldn't be consecutive integers anymore! It would be an arithmetic sequence with a common difference of 10. Always check what type of sequence you're working with.

How can I double-check my answer?

Count up from your first number: if you have 6699, then 6699 + 1 = 6700, and 6700 + 1 = 6701. Each step should increase by exactly 1!

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