Find the Numbers: Complete the Sequence __, 20000, __

Number Sequences with Consecutive Integers

Complete the previous and following number:

,20000, \Box,20000,\Box

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Step-by-step written solution

Follow each step carefully to understand the complete solution
1

Understand the problem

Complete the previous and following number:

,20000, \Box,20000,\Box

2

Step-by-step solution

To solve this problem, we need to find the numbers directly before and after 20000 in a sequence of consecutive numbers.

  • Step 1: Determine the predecessor.

We find the predecessor by subtracting 1 from the given number:

200001=19999 20000 - 1 = 19999

  • Step 2: Determine the successor.

We find the successor by adding 1 to the given number:

20000+1=20001 20000 + 1 = 20001

Having computed both the predecessor and successor, we can conclude that the numbers completing the sequence are:

19999,20001 19999, 20001

3

Final Answer

19999,20001 19999,20001

Key Points to Remember

Essential concepts to master this topic
  • Rule: Consecutive integers differ by exactly 1 from each other
  • Technique: Subtract 1 for predecessor: 20000 - 1 = 19999
  • Check: Verify sequence increases by 1: 19999 → 20000 → 20001 ✓

Common Mistakes

Avoid these frequent errors
  • Adding or subtracting 10, 100, or 1000 instead of 1
    Don't add/subtract 10 to get 19990 and 20010 = skipping numbers! This creates gaps in the sequence instead of consecutive integers. Always add/subtract exactly 1 for the immediate predecessor and successor.

Practice Quiz

Test your knowledge with interactive questions

What number comes before 31,000?

FAQ

Everything you need to know about this question

What does consecutive mean in math?

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Consecutive means numbers that come one right after another with no gaps. Like counting: 1, 2, 3, 4... Each number is exactly 1 more than the previous number.

How do I find the number right before any given number?

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Simply subtract 1 from your number! For example, the number before 20000 is 20000 - 1 = 19999. This works for any whole number.

What if the sequence had a different pattern, like counting by 2s?

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Great question! This problem specifically asks for consecutive numbers (counting by 1s). If it were counting by 2s, you'd add/subtract 2. Always look for clues about the pattern in the problem.

Why can't the answer be 19990 and 20010?

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Because 19990 to 20000 is a jump of 10, not 1! Consecutive integers must have a difference of exactly 1 between each number.

Do negative numbers work the same way?

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Yes! For example, the consecutive integers around -5 would be -6, -5, -4. You still subtract 1 for the predecessor and add 1 for the successor.

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