Question

Three polygons have been divided

Answer 1

The relationship between the sides of the polygon and the triangle follows an arithmetic sequence

The expression that represents the number of triangles is (c) n - 2

From the diagrams, we have:

Sides           Triangles

  5                    3

  6                    4

  8                    6

The above can be represented as functions as follows:

$f(5) = 3$

$f(6) = 4$

$f(8) = 6$

Express 6 as 8 - 2

$f(8) = 8 - 2$

Express 8 as n

$f(n) = n - 2$

So, the expression that represents the number of triangles is (c) n - 2

Read more about sequence and patterns at:

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