Follow the pattern
Answer the questions now -
There are two formulae you can use to calculate the number of apple trees and the number of conifer
trees for the pattern described on the previous page:
Number of apple trees = n2
Number of conifer trees = 8n
where n is the number of rows of apple trees.
There is a value of n for which the number of apple trees equals the number of conifer trees. Find the
value of n and show your method of calculating this.
A farmer plants apple trees in a square pattern. In order to protect the apple trees against the wind he plants conifer trees all around the orchard.
Here you see a diagram of this situation where you can see the pattern of apple trees and conifer trees
for any number (n) of rows of apple trees:
Dear Student,
Please find below the solution to the asked query:
From given pattern we know :
Number of apple tree = n2
And
Number of conifer trees = 8 n
As given condition : There is a value of ' n ' for which the number of apple trees equals the number of conifer trees. So
n2 = 8 n ,
n2 - 8 n = 0 ,
n ( n - 8 ) = 0
So,
n = 0 and n = 8
Therefore,
Required value of ' n ' = 8 ( Ans )
Hope this information will clear your doubts about topic.
If you have any more doubts just ask here on the forum and our experts will try to help you out as soon as possible.
Regards
Please find below the solution to the asked query:
From given pattern we know :
Number of apple tree = n2
And
Number of conifer trees = 8 n
As given condition : There is a value of ' n ' for which the number of apple trees equals the number of conifer trees. So
n2 = 8 n ,
n2 - 8 n = 0 ,
n ( n - 8 ) = 0
So,
n = 0 and n = 8
Therefore,
Required value of ' n ' = 8 ( Ans )
Hope this information will clear your doubts about topic.
If you have any more doubts just ask here on the forum and our experts will try to help you out as soon as possible.
Regards