`{:(8,9,20,63,256,1285),(5,(a),(b),(c),(d),(e)?):}`
What will come in place of (e) ?

Options

A. 945
B. 895
C. 925
D. 845

Explanation

To find the value of (e) in the series given by `{(8,9,20,63,256,1285),(5,(a),(b),(c),(d),(e)?):}`, we will follow the pattern established in the first series and apply it to the second series.

### Step-by-Step Solution:

1. **Identify the Pattern in the First Series:**
- The first series is: 8, 9, 20, 63, 256, 1285.
- To find the relationship between consecutive terms:
- From 8 to 9: \( 8 \times 1 + 1 = 9 \)
- From 9 to 20: \( 9 \times 2 + 2 = 20 \)
- From 20 to 63: \( 20 \times 3 + 3 = 63 \)
- From 63 to 256: \( 63 \times 4 + 4 = 256 \)
- From 256 to 1285: \( 256 \times 5 + 5 = 1285 \)

2. **Apply the Same Pattern to the Second Series:**
- The second series starts with 5 and we need to find (e).
- Let’s denote the terms as follows:
- First term (5) = 5
- Second term (a) = ?
- Third term (b) = ?
- Fourth term (c) = ?
- Fifth term (d) = ?
- Sixth term (e) = ?

3. **Calculate Each Term:**
- For term (a):
\[ a = 5 \times 1 + 1 = 6 \]
- For term (b):
\[ b = 6 \times 2 + 2 = 14 \]
- For term (c):
\[ c = 14 \times 3 + 3 = 45 \]
- For term (d):
\[ d = 45 \times 4 + 4 = 184 \]
- For term (e):
\[ e = 184 \times 5 + 5 = 925 \]

4. **Final Answer:**
- Therefore, the value that will come in place of (e) is **925**.