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

Which number succeeds the number 9209?

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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