What will come in place of the question mark (?) in each of the following number series?
8 10 23 73 297 ?

Options

A. 1492
B. 1481
C. 1491
D. 1478

Answer

To find the missing number in the series: 8, 10, 23, 73, 297, ?, we will analyze the pattern in the series step by step.

### Step 1: Identify the pattern
Let's look at the series:
- The first number is 8.
- The second number is 10.
- The third number is 23.
- The fourth number is 73.
- The fifth number is 297.

### Step 2: Analyze the transitions between numbers
1. From 8 to 10:
- \( 8 \times 1 + 2 = 10 \)

2. From 10 to 23:
- \( 10 \times 2 + 3 = 23 \)

3. From 23 to 73:
- \( 23 \times 3 + 4 = 73 \)

4. From 73 to 297:
- \( 73 \times 4 + 5 = 297 \)

### Step 3: Establish the formula
From the pattern, we can see that:
- Each number is multiplied by an increasing integer (1, 2, 3, 4, ...) and then added to an increasing integer (2, 3, 4, 5, ...).

### Step 4: Apply the pattern to find the next number
Now, we need to find the next number after 297:
- We will multiply 297 by 5 and then add 6.

Calculating:
- \( 297 \times 5 + 6 \)

### Step 5: Perform the calculation
1. Calculate \( 297 \times 5 \):
- \( 297 \times 5 = 1485 \)

2. Add 6:
- \( 1485 + 6 = 1491 \)

### Conclusion
Thus, the missing number in the series is **1491**.