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Question

Look at the following matchstick pattern of squares. The squares are not separate. Two neighbouring squares have a common matchstick. What is the rule that gives the number of matchsticks in terms of the number of squares?
(Let the number of squares be x)


A
3x+1
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B
5x+1
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C
4x+1
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D
2x+1
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Solution

The correct option is A 3x+1

The column of 'number of matchsticks - 1' forms the multiplication table of 3. i.e., 3, 6, 9, 12,...

Let the number of squares be x.

The number of matchsticks used in each pattern is 1 more than 3 times the number of squares in it.

The number of matchsticks used in each pattern = 3x+1.


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