Find the missing value in the series: 51, 52, 60, 87, 151, _____________, 
492.

Let's analyze the series: 

51, 52, 60, 87, 151, ___, 492.

1. First, calculate the differences between consecutive terms:
   - 52 - 51 = 1
   - 60 - 52 = 8
   - 87 - 60 = 27
   - 151 - 87 = 64

2. The pattern in the differences (1, 8, 27, 64) suggests the differences are cubes of integers:
   - 1 = \(1^3\)
   - 8 = \(2^3\)
   - 27 = \(3^3\)
   - 64 = \(4^3\)

3. Continuing this pattern, the next difference should be \(5^3 = 125\).

4. Adding this difference to the last term:
   - 151 + 125 = 276

5. So, the missing value in the series is **276**.

The complete series is:  
**51, 52, 60, 87, 151, 276, 492**.

Would you like more details, or do you have any questions?

Here are 5 related questions:
1. How do you identify patterns in a number series?
2. What are cube numbers, and how do they work in sequences?
3. Can you find the missing term if the pattern were squares instead of cubes?
4. How would this sequence change if it followed a Fibonacci-like pattern?
5. What are other common types of numerical sequences?

**Tip:** Always check for both additive and multiplicative patterns when solving number series questions!

Find the missing value in the series: 51, 52, 60, 87, 151, _____________, 492.

Discover how to find the missing number in the series: 51, 52, 60, 87, 151, ___, 492. This solution involves identifying a pattern of cube numbers (1^3, 2^3, 3^3, 4^3, 5^3) to solve the problem, making it perfect for students in Grades 6-8.

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