1. 100, 98, 96, 94, ___

2. 12, 13, 15, 18, 22, ___

3. 7, 20, 47, 94, 167, ___

4. 1, 4, 2, 8, 6, 24, 22, ___

5. 11, 23, 48, 99, ___

6. 6, 13, 27, 55, 111, ___

7. 8, -24, 72, -216, 648, -1994, ___

8. 5, 27, 137, 687, 3437, ___

9. 34, 7, 37, 14, 40, 28, ___

Here are the solutions for each sequence:

1. **100, 98, 96, 94, ___**  
   This sequence decreases by 2.  
   Next number: **92**.

2. **12, 13, 15, 18, 22, ___**  
   The differences are 1, 2, 3, 4 (increasing by 1 each time).  
   Next difference: 5.  
   Next number: **27**.

3. **7, 20, 47, 94, 167, ___**  
   The pattern is that each term can be expressed as \( n \times 2 + 1 \):  
   - \( 7 \times 2 + 6 = 20 \)  
   - \( 20 \times 2 + 7 = 47 \)  
   - \( 47 \times 2 + 0 = 94 \)  
   - \( 94 \times 2 - 21 = 167 \)  
   Next number: **274**.

4. **1, 4, 2, 8, 6, 24, 22, ___**  
   The pattern alternates:  
   - Multiply by 4 and

1. 100, 98, 96, 94, ___  2. 12, 13, 15, 18, 22, ___  3. 7, 20, 47, 94, 167, ___  4. 1, 4, 2, 8, 6, 24, 22, ___  5. 11, 23, 48, 99, ___  6. 6, 13, 27, 55, 111, ___  7. 8, -24, 72, -216, 648, -1994, ___  8. 5, 27, 137, 687, 3437, ___  9. 34, 7, 37, 14, 40, 28, ___

Explore solutions for various sequence problems including arithmetic and geometric patterns. This guide provides detailed explanations for each sequence, helping students identify missing numbers. Suitable for Grades 6-9.

Math Problem Statement

Solution

Ask a new question for Free

By Image

Math Problem Analysis

Mathematical Concepts

Formulas

Theorems

Suitable Grade Level

Related Recommendation