2,5,9,14,……. Is an A.P.

Answer

To determine if the sequence 2, 5, 9, 14, ... is an arithmetic progression (A.P.), we need to check if the differences between consecutive terms are constant.

### Step-by-Step Solution:

1. **Identify the Terms**: The given sequence is 2, 5, 9, 14.

2. **Calculate the Differences**:
- First difference (between the 1st and 2nd term):
\[ 5 - 2 = 3 \]
- Second difference (between the 2nd and 3rd term):
\[ 9 - 5 = 4 \]
- Third difference (between the 3rd and 4th term):
\[ 14 - 9 = 5 \]

3. **Compare the Differences**:
- The first difference is 3.
- The second difference is 4.
- The third difference is 5.

4. **Conclusion**: Since the differences (3, 4, 5) are not the same, the sequence does not have a constant common difference.

5. **Final Answer**: Therefore, the statement that the sequence 2, 5, 9, 14, ... is an A.P. is **false**.