`6859,5832,4913,4096,3375,?`

Options

A. 2197
B. 2744
C. 2704
D. 2756

Answer

To solve the number series `6859, 5832, 4913, 4096, 3375, ?`, we will analyze the numbers to find a pattern.

### Step-by-Step Solution:

1. **Identify the Numbers**: The given series is:
- 6859
- 5832
- 4913
- 4096
- 3375

2. **Recognize the Pattern**: Each of these numbers can be expressed as cubes of integers:
- \( 6859 = 19^3 \)
- \( 5832 = 18^3 \)
- \( 4913 = 17^3 \)
- \( 4096 = 16^3 \)
- \( 3375 = 15^3 \)

3. **Continue the Pattern**: The pattern shows that each number is the cube of consecutive integers starting from 19 down to 15. Therefore, the next number in the series should be the cube of the next integer, which is 14.

4. **Calculate the Next Number**:
- \( 14^3 = 14 \times 14 \times 14 = 2744 \)

5. **Conclusion**: The next number in the series is **2744**.

### Final Answer:
The next number in the series is **2744**.

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