Complete the Number Sequence: Finding Missing Terms Around 5019

Number Sequences with Consecutive Integers

Fill in the missing numbers:

,5019, \Box,5019,\Box

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Step-by-step written solution

Follow each step carefully to understand the complete solution
1

Understand the problem

Fill in the missing numbers:

,5019, \Box,5019,\Box

2

Step-by-step solution

To solve this problem, we'll identify the consecutive numbers surrounding 5019. Specifically, we're looking for the predecessor and the successor.

  • Step 1: Find the predecessor of 5019.
  • Step 2: Find the successor of 5019.

Now, let's work through each step:

Step 1: The predecessor of a number is 1 less than the number itself. So, the predecessor of 5019 is 50191=5018 5019 - 1 = 5018 .

Step 2: The successor of a number is 1 more than the number itself. Thus, the successor of 5019 is 5019+1=5020 5019 + 1 = 5020 .

Thus, the missing numbers are 5018 and 5020. Therefore, the sequence is 5018,5019,5020 5018, 5019, 5020 .

By comparing these numbers with the provided choices, we find that option 2, 5018,5020 5018, 5020 , is correct.

The solution to the problem is 5018,5020 5018,5020 .

3

Final Answer

5018,5020 5018,5020

Key Points to Remember

Essential concepts to master this topic
  • Rule: Consecutive integers differ by exactly 1 in sequence
  • Technique: Subtract 1 for predecessor: 50191=5018 5019 - 1 = 5018
  • Check: Verify sequence increases by 1: 5018, 5019, 5020 ✓

Common Mistakes

Avoid these frequent errors
  • Adding or subtracting random numbers instead of 1
    Don't add 100 or 200 to find neighboring numbers = creates huge gaps! This breaks the consecutive pattern completely. Always add or subtract exactly 1 for immediate neighbors in a sequence.

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?

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Consecutive means numbers that follow each other in order with no gaps. Like 7, 8, 9 or 100, 101, 102. Each number is exactly 1 more than the previous one.

How do I find the number before 5019?

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To find the predecessor (number before), subtract 1: 50191=5018 5019 - 1 = 5018 . Think of it as taking one step backward on a number line!

How do I find the number after 5019?

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To find the successor (number after), add 1: 5019+1=5020 5019 + 1 = 5020 . It's like taking one step forward on a number line!

Why can't the answer be 5000 and 5100?

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Because 5000 to 5019 is a jump of 19 numbers, not consecutive! Consecutive means the numbers are right next to each other with no numbers in between.

What if I see a sequence like 10, __, 12?

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The missing number must be 11! In any consecutive sequence, each gap is filled by adding 1 to the previous number. So 10 + 1 = 11, and 11 + 1 = 12.

Can consecutive numbers be negative?

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Absolutely! For example: -3, -2, -1, 0, 1, 2, 3 are all consecutive. The rule is the same: each number is 1 more than the previous one.

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