Number Patterns Worksheet for Math Practice

Sure! Let’s solve each number pattern step by step and explain the reasoning.

---

Problem 1:

Pattern: 104, 113, 122, 131, 140, ...

#### Step 1: Find the difference between consecutive numbers.
- 113 – 104 = 9
- 122 – 113 = 9
- 131 – 122 = 9
- 140 – 131 = 9

✔ The pattern increases by +9 each time.

#### Step 2: Add 9 to the last number to find the next three numbers.
- 140 + 9 = 149
- 149 + 9 = 158
- 158 + 9 = 167

#### ✔ Answer:
Next three numbers: 149, 158, 167

#### Explanation:
I know these numbers come next because each number in the sequence is obtained by adding 9 to the previous number. This is an arithmetic sequence with a common difference of +9.

---

Problem 2:

Pattern: 331, 316, 301, 286, 271, ...

#### Step 1: Find the difference between consecutive numbers.
- 316 – 331 = –15
- 301 – 316 = –15
- 286 – 301 = –15
- 271 – 286 = –15

✔ The pattern decreases by –15 each time.

#### Step 2: Subtract 15 from the last number to find the next three numbers.
- 271 – 15 = 256
- 256 – 15 = 241
- 241 – 15 = 226

#### ✔ Answer:
Next three numbers: 256, 241, 226

#### Explanation:
I know these numbers come next because each number in the sequence is obtained by subtracting 15 from the previous number. This is an arithmetic sequence with a common difference of –15.

---

Problem 3:

Pattern: 890, 780, 670, 560, 450, ...

#### Step 1: Find the difference between consecutive numbers.
- 780 – 890 = –110
- 670 – 780 = –110
- 560 – 670 = –110
- 450 – 560 = –110

✔ The pattern decreases by –110 each time.

#### Step 2: Subtract 110 from the last number to find the next three numbers.
- 450 – 110 = 340
- 340 – 110 = 230
- 230 – 110 = 120

#### ✔ Answer:
Next three numbers: 340, 230, 120

#### Explanation:
I know these numbers come next because each number in the sequence is obtained by subtracting 110 from the previous number. This is an arithmetic sequence with a common difference of –110.

---

## ✔ Final Answers:

1. 149, 158, 167
*Reason: Add 9 each time.*

2. 256, 241, 226
*Reason: Subtract 15 each time.*

3. 340, 230, 120
*Reason: Subtract 110 each time.*

Let me know if you’d like to visualize these patterns on a number line or graph!