What will come in place of question mark(?) in the following number series?
7 8 15 46 ? 916

Options

A. 185
B. 182
C. 181
D. 183

Answer

To find the missing number in the series: 7, 8, 15, 46, ?, 916, we will analyze the pattern in the series step by step.

### Step 1: Identify the pattern
Let's look at the differences and operations between the numbers:
- From 7 to 8: \(7 \times 1 + 1 = 8\)
- From 8 to 15: \(8 \times 2 - 1 = 15\)
- From 15 to 46: \(15 \times 3 + 1 = 46\)

### Step 2: Continue the pattern
Now, we need to find the next number after 46:
- Following the established pattern, the next operation should be \(46 \times 4 - 1\).

### Step 3: Calculate the next number
Now, let's perform the calculation:
\[ 46 \times 4 = 184 \]
\[ 184 - 1 = 183 \]
So, the missing number is 183.

### Step 4: Verify with the next number in the series
To ensure our answer is correct, let's check the next number:
- From 183 to 916:
\[ 183 \times 5 + 1 = 915 + 1 = 916 \]
This confirms that our calculation is correct.

### Final Answer
The missing number in the series is **183**.

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