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.
`{:("4","3","4","7","15","38.5"),("6","A","B","C","D","E"):}`
What will come in place of C?

Options

A. 8.5
B. 9.5
C. 8
D. 9

Explanation

To solve the problem, we need to identify the pattern in the first series and then apply that pattern to the second series to find the value for C.

### Step-by-Step Solution:

1. **Identify the Pattern in the First Series:**
The first series is: 4, 3, 4, 7, 15, 38.5.
- From 4 to 3: Decrease by 1 (4 - 1 = 3).
- From 3 to 4: Increase by 1 (3 + 1 = 4).
- From 4 to 7: Increase by 3 (4 + 3 = 7).
- From 7 to 15: Increase by 8 (7 + 8 = 15).
- From 15 to 38.5: Increase by 23.5 (15 + 23.5 = 38.5).

2. **Calculate the Multiplication Factors:**
- The pattern appears to involve multiplying and then adding a constant.
- The multipliers seem to be increasing by 0.5:
- 4 * 0.5 + 1 = 3
- 3 * 1 + 1 = 4
- 4 * 1.5 + 1 = 7
- 7 * 2 + 1 = 15
- 15 * 2.5 + 1 = 38.5

3. **Apply the Pattern to the Second Series:**
The second series starts with 6 and is represented as: 6, A, B, C, D, E.
- For A:
- Multiply 6 by 0.5 and add 1:
- \( 6 * 0.5 + 1 = 3 + 1 = 4 \)
- So, A = 4.

- For B:
- Multiply A (which is 4) by 1 and add 1:
- \( 4 * 1 + 1 = 4 + 1 = 5 \)
- So, B = 5.

- For C:
- Multiply B (which is 5) by 1.5 and add 1:
- \( 5 * 1.5 + 1 = 7.5 + 1 = 8.5 \)
- So, C = 8.5.

4. **Final Answer:**
The value that comes in place of C is **8.5**.