Final answer:
The displacement of the pigeon is 6.5 meters to the right.
Step-by-step explanation:
The displacement of the pigeon can be calculated by subtracting the final position from the initial position. In this case, the initial position is 4m to the right of the bench and the final position is 2.5m to the left of the bench. So, the displacement is (2.5m) - (-4m) = 6.5m to the right. Therefore, the correct answer is (d) 6.5 meters to the right.