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Since there is no figure n, the number of triangles in it is described by the expression 0.

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Which expression describes the total number of triangles in figure n?

The expression that describes the total number of triangles in figure n is n(n+1)(n+2)/6. This can be derived using the formula for calculating the sum of the first n natural numbers, which is n(n+1)/2, and then multiplying it by (n+2)/3 to account for the different possible combinations of vertices in a triangle.


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To determine the number of triangles in a polygon, we can use the formula n(n-1)(n-2)/6, where n is the number of sides of the polygon. For a 26-sided polygon, the formula would be 26(26-1)(26-2)/6. Simplifying this expression, we get 262524/6 = 10400 triangles.