What will come in place of the question mark (?) in the following number series.
7 9 22 72 296 ?

Options

A. 1360
B. 1490
C. 1450
D. 1510

Answer

To find the missing number in the series: 7, 9, 22, 72, 296, ?, we can analyze the pattern in the series step by step.

### Step 1: Identify the pattern
Let's look at how each number in the series is generated from the previous number.

1. From 7 to 9:
- Multiply 7 by 1 and add 2:
\[ 7 \times 1 + 2 = 9 \]

2. From 9 to 22:
- Multiply 9 by 2 and add 4:
\[ 9 \times 2 + 4 = 22 \]

3. From 22 to 72:
- Multiply 22 by 3 and add 6:
\[ 22 \times 3 + 6 = 72 \]

4. From 72 to 296:
- Multiply 72 by 4 and add 8:
\[ 72 \times 4 + 8 = 296 \]

### Step 2: Continue the pattern
Now, we can see that the pattern involves multiplying by an increasing integer (1, 2, 3, 4) and adding an increasing even number (2, 4, 6, 8).

Following this pattern, the next step would be:
- Multiply by 5 and add 10 (the next even number):
\[ 296 \times 5 + 10 \]

### Step 3: Calculate the next number
Now, let's perform the calculation:
\[ 296 \times 5 = 1480 \]
\[ 1480 + 10 = 1490 \]

### Conclusion
Thus, the number that comes in place of the question mark (?) is **1490**.