200 trees were planted at equal distance apart along the sides of a straight expressway. The
distance between the first and the last tree is 396 m. What is the distance between the first and
the fifteenth tree?
200 trees means 199 intervals between. So, each interval is 396/199 meters. That means that the nth tree is at a distance from the first of
Tn = (n-1)(396/199)
Now just plug in 15 for n and you have your distance.
Thanks for your reply.Even I did the same thing but the answer is 36..
To find the distance between the first and fifteenth tree, we need to figure out the total distance between each tree and then multiply it by the 14 gaps between the trees (since there are 15 trees, but 14 gaps between them).
Let's break down the problem step by step:
1. We know that the total distance between the first and last tree is 396 m.
2. Since there are 200 trees evenly spaced apart, we can calculate the distance between each tree by dividing the total distance by the number of gaps between the trees.
Total gaps = Total trees - 1 = 200 - 1 = 199
Distance between each gap = Total distance / Total gaps = 396 m / 199 = 1.9899 m
(Note: We rounded the number to 4 decimal places for simplicity.)
3. Now that we know the distance between each gap, we can find the distance between the first and fifteenth tree.
Distance between first and fifteenth tree = Distance between each gap x Number of gaps = 1.9899 m x 14 = 27.8586 m
(Again, rounded to 4 decimal places.)
Therefore, the distance between the first and fifteenth tree is approximately 27.8586 meters.