Find the missing term in the given number series?
2, 7, 11, 16, 20, ?

Options

A. 25
B. 23
C. 24
D. 26

Answer

To find the missing term in the given number series: 2, 7, 11, 16, 20, ?, we will analyze the pattern in the series step by step.

### Step 1: Identify the series
The series provided is:
2, 7, 11, 16, 20, ?

### Step 2: Calculate the differences between consecutive terms
Let's find the difference between each consecutive term:

- Difference between 7 and 2:
\( 7 - 2 = 5 \)

- Difference between 11 and 7:
\( 11 - 7 = 4 \)

- Difference between 16 and 11:
\( 16 - 11 = 5 \)

- Difference between 20 and 16:
\( 20 - 16 = 4 \)

Now we have the differences:
5, 4, 5, 4

### Step 3: Identify the pattern in the differences
From the differences calculated, we can see a repeating pattern:
- The differences alternate between 5 and 4.

### Step 4: Predict the next difference
Following the established pattern, the next difference after 20 should be 5 (since the last difference was 4).

### Step 5: Calculate the missing term
Now, we add the next difference (5) to the last term (20):
\( 20 + 5 = 25 \)

### Conclusion
Thus, the missing term in the series is **25**.