What is the next term in the following series?
3, 2, 13, 12, 23, 22, _____

Options

A. 33
B. 32
C. 21
D. 29

Answer

To find the next term in the series 3, 2, 13, 12, 23, 22, we can analyze the pattern in the series step by step.

### Step 1: Identify the Pattern
The series alternates between two sequences:
- The first sequence consists of the 1st, 3rd, and 5th terms: 3, 13, 23
- The second sequence consists of the 2nd, 4th, and 6th terms: 2, 12, 22

### Step 2: Analyze the First Sequence
The first sequence is:
- 3 (1st term)
- 13 (3rd term)
- 23 (5th term)

To find the pattern, we can see that:
- 13 = 3 + 10
- 23 = 13 + 10

Thus, the next term in this sequence would be:
- Next term = 23 + 10 = 33

### Step 3: Analyze the Second Sequence
The second sequence is:
- 2 (2nd term)
- 12 (4th term)
- 22 (6th term)

Similarly, we can see that:
- 12 = 2 + 10
- 22 = 12 + 10

Thus, the next term in this sequence would be:
- Next term = 22 + 10 = 32

### Step 4: Determine the Next Term in the Overall Series
Since the next term in the overall series follows the first sequence, the next term after 23, 22 will be:
- 33 (the next term in the first sequence)

### Conclusion
Therefore, the next term in the series is **33**.