`{:(15,9,8,12,36,170),(19,(a),(b),(c),(d),(e)):}`
What will come in place of (b) ?

Options

A. 18
B. 16
C. 22
D. 24

Explanation

To solve the problem, we need to analyze the given series and establish a pattern. The series provided is:

**15, 9, 8, 12, 36, 170.**

### Step 1: Identify the pattern in the series

1. **From 15 to 9**:
- The difference is \(15 - 9 = 6\).

2. **From 9 to 8**:
- The difference is \(9 - 8 = 1\).

3. **From 8 to 12**:
- The difference is \(12 - 8 = 4\).

4. **From 12 to 36**:
- The difference is \(36 - 12 = 24\).

5. **From 36 to 170**:
- The difference is \(170 - 36 = 134\).

### Step 2: Analyze the differences

- The differences we calculated are:
- \(6, 1, 4, 24, 134\).

### Step 3: Establish a multiplication and subtraction pattern

- The pattern seems to involve both multiplication and subtraction:
- From 15 to 9: \(15 - 6 = 9\)
- From 9 to 8: \(9 - 1 = 8\)
- From 8 to 12: \(8 \times 1.5 = 12\)
- From 12 to 36: \(12 \times 3 = 36\)
- From 36 to 170: \(36 \times 5 - 10 = 170\)

### Step 4: Create the second series

Now we need to create the second series starting from 19:

1. **First term**:
- \(19\)

2. **Second term (b)**:
- Following the established pattern, we will apply the same operations:
- \(19 - 6 = 13\)

3. **Third term (c)**:
- \(13 - 1 = 12\)

4. **Fourth term (d)**:
- \(12 \times 1.5 = 18\)

5. **Fifth term (e)**:
- \(18 \times 3 = 54\)

### Final Answer

Thus, the value that comes in place of (b) is **13**.