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The given figure gives a matchstick pattern of triangles.
______ is the general rule that gives the total number of matchsticks required in terms of the number of triangles.

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3n+1

2n + 1

answer is B.

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Detailed Solution

Let's observe the number of triangles vs. the number of matchsticks:

Number of triangles: Number of matchsticks required

1: 3
2: 5
3: 7
4: 9

It can be observed that in the given matchstick pattern, the number of matchsticks is 3, 5, 7, and 9, which is 1 more than twice the number of triangles in the pattern.

Hence, 2n + 1 is the general rule that gives the number of matchsticks in terms of the number of triangles, where n is the number of triangles.

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