Answer:
The grasshopper cannot be in the same location it started because by 2017, it would have covered a distance of 1017576.5 to either left or right. and that distance is not an integer.
Explanation:
The grasshopper jumps in integer of 1 cm to either right or left
Calculating for the total distance covered in 2017 jumps
Total Distance = (2017 x 2018)/2 = 2035153 cm
To either right or left: this implies that the total distance be divided by 2
=> 1017576.5 cm
It shows that at some point, the grasshopper will not be in a position of integer on either right or left.
Therefore, it can not get to its initial point of start.
