What will be come in place of the question mark (?) in the given number series
17 18 40 129 532 ?

Options

A. 2785
B. 2685
C. 2885
D. 2775

Answer

To solve the given number series: 17, 18, 40, 129, 532, ?, we will analyze the pattern in the series step by step.

### Step 1: Identify the pattern
The series appears to be increasing, and we need to find a relationship between the consecutive numbers.

### Step 2: Analyze the first two numbers
- From 17 to 18:
\[ 17 \times 1 + 1^2 = 17 + 1 = 18 \]

### Step 3: Analyze the second and third numbers
- From 18 to 40:
\[ 18 \times 2 + 2^2 = 36 + 4 = 40 \]

### Step 4: Analyze the third and fourth numbers
- From 40 to 129:
\[ 40 \times 3 + 3^2 = 120 + 9 = 129 \]

### Step 5: Analyze the fourth and fifth numbers
- From 129 to 532:
\[ 129 \times 4 + 4^2 = 516 + 16 = 532 \]

### Step 6: Find the next number in the series
Now, we will apply the same pattern to find the next number after 532:
- From 532 to ?:
\[ 532 \times 5 + 5^2 = 2660 + 25 = 2685 \]

### Conclusion
Thus, the number that will come in place of the question mark (?) is **2685**.

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