find the missing number in the following series:-
0, 2, 3, 5, 8, 10, 15, 17, 24, 26, ….

Options

A. 35
B. 32
C. 30
D. 28

Explanation

To find the missing number in the series: 0, 2, 3, 5, 8, 10, 15, 17, 24, 26, …, we will analyze the differences between the numbers in the series.

### Step 1: Identify the series
The series given is:
0, 2, 3, 5, 8, 10, 15, 17, 24, 26.

### Step 2: Calculate the differences between consecutive terms
Let's calculate the differences between each pair of consecutive terms:
- 2 - 0 = 2
- 3 - 2 = 1
- 5 - 3 = 2
- 8 - 5 = 3
- 10 - 8 = 2
- 15 - 10 = 5
- 17 - 15 = 2
- 24 - 17 = 7
- 26 - 24 = 2

So, the differences are:
2, 1, 2, 3, 2, 5, 2, 7, 2.

### Step 3: Analyze the pattern in the differences
Now, let's analyze the differences:
- The differences alternate between a number and 2:
- 2 (first difference)
- 1 (second difference)
- 2 (third difference)
- 3 (fourth difference)
- 2 (fifth difference)
- 5 (sixth difference)
- 2 (seventh difference)
- 7 (eighth difference)
- 2 (ninth difference)

### Step 4: Identify the pattern in the non-2 differences
The non-2 differences are:
1, 3, 5, 7.

This sequence is increasing by 2 each time:
- 1 (1st term)
- 3 (2nd term)
- 5 (3rd term)
- 7 (4th term)

Following this pattern, the next non-2 difference should be 9.

### Step 5: Calculate the next number in the series
The last number in the series is 26. To find the next number, we add the next non-2 difference (which is 9) to the last number:
26 + 9 = 35.

### Conclusion
Thus, the missing number in the series is **35**.

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