8, 9, 11, 14, 18, 23, ….

Options

A. 28
B. 30
C. 32
D. 29

Explanation

To solve the series 8, 9, 11, 14, 18, 23, …, we need to identify the pattern in the sequence and find the missing number. Here’s a step-by-step solution:

### Step 1: Identify the given series
The series provided is:
8, 9, 11, 14, 18, 23, …

### Step 2: Calculate the differences between consecutive terms
We will find the difference between each pair of consecutive terms in the series:

- Difference between 9 and 8:
\( 9 - 8 = 1 \)

- Difference between 11 and 9:
\( 11 - 9 = 2 \)

- Difference between 14 and 11:
\( 14 - 11 = 3 \)

- Difference between 18 and 14:
\( 18 - 14 = 4 \)

- Difference between 23 and 18:
\( 23 - 18 = 5 \)

Now, we can summarize the differences:
1, 2, 3, 4, 5

### Step 3: Identify the pattern in the differences
The differences are increasing by 1 each time:
- The first difference is 1
- The second difference is 2
- The third difference is 3
- The fourth difference is 4
- The fifth difference is 5

### Step 4: Predict the next difference
Following the established pattern, the next difference should be:
- 6 (since the last difference was 5)

### Step 5: Calculate the missing term
Now, we add this next difference (6) to the last known term in the series (23):
\( 23 + 6 = 29 \)

### Conclusion
Thus, the missing number in the series is **29**.

### Final Answer
The missing figure is **29**.

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