Find out the missing numbers:
2, 9, 28, 65, ......

Options

A. 121
B. 195
C. 126
D. 103

Explanation

To find the missing number in the sequence 2, 9, 28, 65, we can observe a pattern based on cubes of integers. Let's break it down step by step:

### Step 1: Identify the pattern
We notice that each number in the sequence can be expressed in terms of cubes of consecutive integers plus one.

### Step 2: Calculate the first number
The first number is:
- \(1^3 + 1 = 1 + 1 = 2\)

### Step 3: Calculate the second number
The second number is:
- \(2^3 + 1 = 8 + 1 = 9\)

### Step 4: Calculate the third number
The third number is:
- \(3^3 + 1 = 27 + 1 = 28\)

### Step 5: Calculate the fourth number
The fourth number is:
- \(4^3 + 1 = 64 + 1 = 65\)

### Step 6: Calculate the fifth number
Now, we need to find the fifth number:
- \(5^3 + 1 = 125 + 1 = 126\)

### Conclusion
Thus, the missing number in the sequence is **126**.

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