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Question

Find the pattern of the following:

(i)

(ii)

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Solution

(i) Since, ABCD has 4 sides and it has 1 diagonal.
ABCDE has 5 sides and its having 2 diagonal
ABCDEF is having 6 sides and it is having 3 diagonal
The pattern will be
Sides 4 5 6
Diagonal 1 2 3

Therefore, the relation is (n-3) where n is the sides

(ii) Since, 1 square path = 4 sides
2 square path = 7 sides
3 square path = 10 sides

The pattern will be 3n+1 where n is a square path.


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