23, 27, 43, 79, 143, ….

Options

A. 244
B. 243
C. 242
D. 241

Explanation

To find the next number in the series: 23, 27, 43, 79, 143, …, we will analyze the pattern step by step.

### Step 1: Identify the pattern in the series
We will look at the differences between consecutive numbers in the series:

- 27 - 23 = 4
- 43 - 27 = 16
- 79 - 43 = 36
- 143 - 79 = 64

The differences are: 4, 16, 36, 64.

### Step 2: Recognize the differences as squares
Now, we can see that these differences are actually squares of even numbers:
- 4 = 2²
- 16 = 4²
- 36 = 6²
- 64 = 8²

### Step 3: Determine the next difference
The next even number after 8 is 10. The square of 10 is:
- 10² = 100

### Step 4: Add the next difference to the last number in the series
Now, we will add this difference (100) to the last number in the series (143):
- 143 + 100 = 243

### Conclusion
Thus, the next number in the series is **243**.