What will come in place of question mark (?) in the following series?
36,48,60,72,?

Options

A. A)80
B. B)78
C. C)84
D. D)85

Answer

To find the missing term in the series 36, 48, 60, 72, ?, we will analyze the pattern of the series step by step.

### Step 1: Identify the terms of the series
The given series is:
- First term: 36
- Second term: 48
- Third term: 60
- Fourth term: 72
- Fifth term: ?

### Step 2: Calculate the differences between consecutive terms
Let's calculate the difference between each pair of consecutive terms:
- Difference between the second term (48) and the first term (36):
\[ 48 - 36 = 12 \]
- Difference between the third term (60) and the second term (48):
\[ 60 - 48 = 12 \]
- Difference between the fourth term (72) and the third term (60):
\[ 72 - 60 = 12 \]

### Step 3: Observe the pattern
From the calculations, we can see that the difference between each consecutive term is consistently 12.

### Step 4: Find the fifth term
To find the fifth term (let's denote it as \( k \)), we can use the same difference:
\[ k - 72 = 12 \]
Now, we can solve for \( k \):
\[ k = 72 + 12 \]
\[ k = 84 \]

### Conclusion
The missing term in the series is 84.