Complete an increasing number of sequence
Key Notes :
⭐ What is an Increasing Number Sequence?
- An increasing number sequence is a list of numbers that go up in value from left to right.
- Each number is greater than the one before it.
🔍 How to Complete an Increasing Sequence
- Look at the difference between the first few numbers.
- Check if the same rule repeats.
- Add the same number each time to find the missing numbers.
- Sometimes, the rule may be multiplying or adding more each step.
➕ Common Types of Increasing Patterns
- Add the same number each time
Example: 5, 10, 15, __ , __ (add 5) - Multiply by the same number
Example: 2, 4, 8, __ , __ (multiply by 2) - Add increasing numbers
Example: 1, 3, 6, 10, __ (add 2, then 3, then 4…)
🧠 Helpful Tips
- Write the difference between numbers to spot the pattern.
- Use a number line to see how numbers increase.
- Always check your answer by continuing the pattern.
- Make sure the numbers are increasing, not decreasing.
✏️ Quick Practice
- 12, 18, 24, __ , __
- 3, 6, 12, __ , __
- 4, 9, 15, __ , __
Learn with an example
1) Type the next number in this sequence:
1, 3, 6, 10, 15, 21, ______
Find the pattern. Look at how much you add to each number to get the next number:
The amount you add increases by 1 each time. You should add 7 the next time. Add 7 to 21 to find the next number:
The next number is 28.
2) Type the next number in this sequence:
1, 2, 4, 7, 11, 16, 22, _____
Find the pattern. Look at how much you add to each number to get the next number:
The amount you add increases by 1 each time. You should add 7 the next time. Add 7 to 22 to find the next number:
The next number is 29.
3) Type the next number in this sequence:
1, 2, 5, 10, 17, 26, _____
Find the pattern. Look at how much you add to each number to get the next number:
The amount you add increases by 2 each time. You should add 11 the next time. Add 11 to 26 to find the next number:
The next number is 37.
Let’s practice!🖊️
