Q.

Look at the following matchstick pattern of huts.

Observe the given matchstick pattern and find the rule that gives the total number of matchsticks required in terms of the number of huts.

Diagram

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a

3n +3

b

7n -1 

c

5n + 1

d

4n + 2

answer is B.

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Detailed Solution

By observing the given pattern,

Diagram

The number of matchsticks required to make 1, 2, and 3, ..... huts are 6, 11, and 16, respectively.

And the number of matchsticks required can be rewritten as, 5 + 1, 10 + 1, 15 + 1 and so on.....

which is one more than five times the number of triangles.

So, The rule for the given pattern is 5n + 1, where n is the number of huts.

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