What will come in place of question mark (?) in the following series?
2,6,12,20,30,?

Options

A. 64
B. 48
C. 42
D. 45

Answer

To solve the series 2, 6, 12, 20, 30, ?, we need to identify the pattern in the sequence.

### Step 1: Identify the pattern in the series
Let's look at the numbers in the series:
- 2
- 6
- 12
- 20
- 30

### Step 2: Analyze the differences between consecutive terms
We can calculate the differences between consecutive terms:
- 6 - 2 = 4
- 12 - 6 = 6
- 20 - 12 = 8
- 30 - 20 = 10

So, the differences are:
- 4, 6, 8, 10

### Step 3: Identify the pattern in the differences
Now, let's analyze the differences:
- The differences are increasing by 2 each time:
- 4 (2 + 2)
- 6 (4 + 2)
- 8 (6 + 2)
- 10 (8 + 2)

### Step 4: Calculate the next difference
Following the pattern, the next difference would be:
- 10 + 2 = 12

### Step 5: Add the next difference to the last term in the series
Now, we add this difference to the last term in the series:
- 30 + 12 = 42

### Conclusion
Thus, the number that will come in place of the question mark (?) in the series is **42**.

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