127, 128, 136, 163, 227, ….

Options

A. 352
B. 350
C. 357
D. 341

Explanation

To find the next number in the series: 127, 128, 136, 163, 227, …, we will analyze the pattern step by step.

### Step 1: Identify the differences between consecutive terms
- From 127 to 128: \(128 - 127 = 1\)
- From 128 to 136: \(136 - 128 = 8\)
- From 136 to 163: \(163 - 136 = 27\)
- From 163 to 227: \(227 - 163 = 64\)

### Step 2: Write down the differences
The differences we have calculated are:
- \(1, 8, 27, 64\)

### Step 3: Recognize the pattern in the differences
Now, we can see that these differences are actually cubes of consecutive integers:
- \(1 = 1^3\)
- \(8 = 2^3\)
- \(27 = 3^3\)
- \(64 = 4^3\)

### Step 4: Determine the next difference
Following the pattern, the next difference should be \(5^3\):
- \(5^3 = 125\)

### Step 5: Add the next difference to the last term in the series
Now, we add this difference to the last term in the series:
- \(227 + 125 = 352\)

### Conclusion
Thus, the next number in the series is **352**.