You are given two series in two rows. In the first row, a full series is given which follows a specific pattern. The second row has a series, similar to the first series but only first element of this series is produced followed by (A), (B), (C), (D) and (E) for the subsequent elements. You have to complete the series starting with a given number and answer the question that follows.
`{:("6","14","35","111","449",),("3","A","B","C","D","E"):}`
What will come in place of E?

Options

A. 1889
B. 11
C. 93
D. 29

Explanation

To solve the problem, we need to identify the pattern in the first series and then apply that pattern to the second series. Let's break it down step by step.

### Step 1: Identify the pattern in the first series
The first series is: 6, 14, 35, 111, 449.

1. **From 6 to 14**:
- Multiply 6 by 1: \(6 \times 1 = 6\)
- Add 8: \(6 + 8 = 14\)

2. **From 14 to 35**:
- Multiply 14 by 2: \(14 \times 2 = 28\)
- Add 7: \(28 + 7 = 35\)

3. **From 35 to 111**:
- Multiply 35 by 3: \(35 \times 3 = 105\)
- Add 6: \(105 + 6 = 111\)

4. **From 111 to 449**:
- Multiply 111 by 4: \(111 \times 4 = 444\)
- Add 5: \(444 + 5 = 449\)

### Step 2: Establish the pattern
The pattern observed is:
- Multiply by 1, 2, 3, 4 (increasing by 1 each time)
- Add 8, 7, 6, 5 (decreasing by 1 each time)

### Step 3: Apply the pattern to the second series
The second series starts with 3, and we need to find A, B, C, D, and E.

1. **Finding A**:
- Multiply 3 by 1: \(3 \times 1 = 3\)
- Add 8: \(3 + 8 = 11\)
- So, A = 11.

2. **Finding B**:
- Multiply 11 by 2: \(11 \times 2 = 22\)
- Add 7: \(22 + 7 = 29\)
- So, B = 29.

3. **Finding C**:
- Multiply 29 by 3: \(29 \times 3 = 87\)
- Add 6: \(87 + 6 = 93\)
- So, C = 93.

4. **Finding D**:
- Multiply 93 by 4: \(93 \times 4 = 372\)
- Add 5: \(372 + 5 = 377\)
- So, D = 377.

5. **Finding E**:
- Multiply 377 by 5: \(377 \times 5 = 1885\)
- Add 4: \(1885 + 4 = 1889\)
- So, E = 1889.

### Final Answer
Thus, the value that comes in place of E is **1889**.