Number sequences: mixed review
Key Notes :
🔹 What is a Number Sequence?
➡️ A number sequence is a list of numbers that follow a rule or pattern.
📌 Example: 2, 4, 6, 8, ___
🔹 Types of Number Sequences 🧩
➕ Increasing Sequence
🔼 Numbers go up
🧠 Example: 5, 10, 15, 20
👉 Rule: Add 5
➖ Decreasing Sequence
🔽 Numbers go down
🧠 Example: 50, 45, 40, 35
👉 Rule: Subtract 5
✖️ Multiplication Sequence
🔢 Numbers grow faster
🧠 Example: 2, 4, 8, 16
👉 Rule: Multiply by 2
➗ Division Sequence
📉 Numbers get smaller
🧠 Example: 64, 32, 16, 8
👉 Rule: Divide by 2
🔹 Skip Counting Sequences 🏃♂️
🎯 Counting by the same number each time
🧠 Examples:
- By 2️⃣: 2, 4, 6, 8
- By 5️⃣: 5, 10, 15, 20
- By 🔟: 10, 20, 30, 40
🔹 Odd & Even Number Sequences 🎲
🟦 Even Numbers: End in 0, 2, 4, 6, 8
Example: 2, 4, 6, 8, 10
🟥 Odd Numbers: End in 1, 3, 5, 7, 9
Example: 1, 3, 5, 7, 9
🔹 Alternating Patterns 🔄
🔁 Different rules repeat
🧠 Example: 2, 4, 6, 5, 7, 9, 8
👉 Pattern: +2, +2, −1
🔹 Missing Numbers 🔍
🧩 Find the rule to fill in the blanks
🧠 Example: 3, __, 9, __, 15
👉 Rule: Add 3
✅ Answer: 3, 6, 9, 12, 15
🔹 Tips to Solve Number Sequences 💡
✔️ Look at the difference between numbers
✔️ Check if numbers are being added, subtracted, multiplied, or divided
✔️ See if the pattern repeats
✔️ Always test your rule! ✅
Learn with an example
1) Type the missing number in this sequence:
2, _______, 50, 250, 1,250
First, look for a pattern. Notice how each number is 5 times the previous number:
2, __, 50, 250, 1,250
Multiply 2 by 5 to find the missing number:
2 × 5 = 10
To make the pattern complete, the number 10 must go in the blank space.
2) Type the missing number in this sequence:
5, 25, ______ , 625, 3,125, 15,625
First, look for a pattern. Notice how each number is 5 times the previous number:
5, 25, __, 625, 3,125, 15,625
Multiply 25 by 5 to find the missing number:
25 × 5 = 125
To make the pattern complete, the number 125 must go in the blank space.
3) Type the missing number in this sequence:
4, 16, ______ , 256, 1,024
First, look for a pattern. Notice how each number is 4 times the previous number:
4, 16, __, 256, 1,024
Multiply 16 by 4 to find the missing number:
16 × 4 = 64
To make the pattern complete, the number 64 must go in the blank space.
Let’s practice!🖊️
