Farmer Jim plants apple trees in a square pattern. To protect the apple trees against wind, he plants conifers or pine trees all around the orchard. The diagram shows the pattern of plantings for any number of rows (n) of apple trees. How many apple and conifers or pine trees are needed for n = 5?

Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
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Farmer Jim plants apple trees in a square pattern. To protect the apple trees against wind, he plants conifers or pine trees all around the orchard. The diagram shows the pattern of plantings for any number of rows (n) of apple trees. How many apple and conifers or pine trees are needed for n = 5?

n= 1
Х Х Х
X. X
n = 2
Х Х Х Х Х
X.
ххх X
●=
х.
X= conifer tree
= apple tree
х х х х х
х х х х х х х
X.
х.
X X
n = 3
х. . х х •
X
X.
.
.
Х Х Х Х Х Х
X
• X X.
X
х
Х X
Х Х Х Х
х.
X
X
. х
n = = 4
. х
Х Х Х
●
Х Х
. х
X
X.
X
.х
X
х.
Х Х Х Х Х Х Х Х Х
Transcribed Image Text:n= 1 Х Х Х X. X n = 2 Х Х Х Х Х X. ххх X ●= х. X= conifer tree = apple tree х х х х х х х х х х х х X. х. X X n = 3 х. . х х • X X. . . Х Х Х Х Х Х X • X X. X х Х X Х Х Х Х х. X X . х n = = 4 . х Х Х Х ● Х Х . х X X. X .х X х. Х Х Х Х Х Х Х Х Х
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