0, 5, 10, 8, 13, 26, 24, 29, ...., 56, 61
(A) 27
(B) 48
(C) 56
(D) 58
(E) 60

Let's break down the sequence step by step:

Given the sequence:  
0, 5, 10, 8, 13, 26, 24, 29, ..., 56, 61

We can observe the changes between consecutive numbers:

1. From **0 to 5**: +5  
2. From **5 to 10**: +5  
3. From **10 to 8**: -2  
4. From **8 to 13**: +5  
5. From **13 to 26**: +13  
6. From **26 to 24**: -2  
7. From **24 to 29**: +5  

It appears that the pattern alternates between adding **5**, then adding a larger number (either **13** or another larger number), and sometimes subtracting **2**.

Let’s predict the next term based on this alternating pattern. From **29**, the next step seems to follow the addition pattern (since we previously added **5** from **24 to 29**).

The next number could logically be **48**, since:
- The next addition step should follow the same logic as from **26 to 24**, which was -2. The alternating pattern would now lead us to add **19**, as it makes sense given the larger steps we see earlier in the sequence (like +13 and the expected growth).

Thus, the next term is **48**.

**Answer: (B) 48**

---

Would you like further clarification or a deeper breakdown? Here are 5 related questions for you to consider:
1. What type of sequence is this (arithmetic, geometric, or another)?
2. How do alternating patterns influence sequences like this?
3. Can you predict the next few terms after 48 based on this logic?
4. How does the alternating addition/subtraction pattern evolve in other similar sequences?
5. What happens if the alternating pattern is disrupted, for example by replacing addition with subtraction?

**Tip:** When analyzing sequences, always check if there’s a consistent pattern in the differences between terms. Alternating sequences often involve regular additions and subtractions, which can reveal a deeper structure.

Analyze the sequence 0, 5, 10, 8, 13, 26, 24, 29, ... and predict the next term using pattern recognition and arithmetic progression concepts. Explore step-by-step solutions and logical reasoning behind identifying the next term. Suitable for students in Grades 6-8.

Math Problem Statement

Solution

Ask a new question for Free

By Image

Math Problem Analysis

Mathematical Concepts

Formulas

Theorems

Suitable Grade Level

Related Recommendation