What will come in the place of question mark (?) in the given number series ?
16, 21, 46, 141, 566 ?

Options

A. 2266
B. 2265
C. 2832
D. 2831

Answer

To find the missing number in the series: 16, 21, 46, 141, 566, ?, we will analyze the pattern in the series step by step.

### Step 1: Identify the pattern
Let's look at the transitions between the numbers in the series:
- From 16 to 21
- From 21 to 46
- From 46 to 141
- From 141 to 566

### Step 2: Calculate the operations
1. **From 16 to 21**:
- \( 16 \times 1 + 5 = 21 \)

2. **From 21 to 46**:
- \( 21 \times 2 + 4 = 46 \)

3. **From 46 to 141**:
- \( 46 \times 3 + 3 = 141 \)

4. **From 141 to 566**:
- \( 141 \times 4 + 2 = 566 \)

### Step 3: Establish the next operation
Now, we can see a pattern:
- We are multiplying by increasing integers (1, 2, 3, 4) and adding decreasing integers (5, 4, 3, 2).

Following this pattern, the next step will be:
- Multiply by 5 and add 1.

### Step 4: Calculate the missing number
Now, we calculate the next number:
- \( 566 \times 5 + 1 \)

Calculating it:
- \( 566 \times 5 = 2830 \)
- \( 2830 + 1 = 2831 \)

Thus, the missing number in the series is **2831**.

### Final Answer:
The number that comes in place of the question mark (?) is **2831**.

---