what is the next number of the sequence
102, 34, 17, 18, 6, 3
the options are
0, 4, 3, 1, 2

To find the next number in the sequence \(102, 34, 17, 18, 6, 3\), let's analyze the pattern:

1. **102 to 34**: This is a division by 3. \(102 \div 3 = 34\).
2. **34 to 17**: This is a division by 2. \(34 \div 2 = 17\).
3. **17 to 18**: This is an addition of 1. \(17 + 1 = 18\).
4. **18 to 6**: This is a division by 3. \(18 \div 3 = 6\).
5. **6 to 3**: This is a division by 2. \(6 \div 2 = 3\).

The sequence alternates between dividing by 3, dividing by 2, and adding 1.

Following this pattern, after dividing by 3 and dividing by 2, the next operation should be adding 1:

\[
3 + 1 = 4
\]

Thus, the next number in the sequence is **4**.

### Conclusion:
The next number in the sequence is **4**.

---

Would you like more details or have any questions?

Here are 5 related questions that expand on this topic:
1. How do different arithmetic sequences and patterns form?
2. What are the general rules for finding the next term in a geometric sequence?
3. Can there be multiple valid patterns for a sequence with limited numbers?
4. How would you approach finding a missing number in a non-linear sequence?
5. What role does recursion play in defining numerical sequences?

**Tip:** When analyzing a sequence, look for alternating patterns or operations that repeat at regular intervals.

Discover how to find the next number in the sequence 102, 34, 17, 18, 6, 3 with a step-by-step solution. This problem involves analyzing arithmetic sequences, identifying alternating operations of division and addition. Suitable for students in Grades 7-9.

Math Problem Statement

Solution

Ask a new question for Free

By Image

Math Problem Analysis

Mathematical Concepts

Formulas

Theorems

Suitable Grade Level

Related Recommendation