Respuesta :

Answer:

C

Step-by-step explanation:

Consider the number of triangles in each diagram

1 → 1 → [tex]2^{0}[/tex]

2 → 2 → [tex]2^{1}[/tex]

3 → 4 → 2²

4 → 8 → 2³

The pattern of triangles is 1, 2, 4, 8, that is

[tex]2^{0}[/tex], [tex]2^{1}[/tex], 2², 2³

Note that the exponent is one less than the figures position in the pattern, thus

[tex]a_{n}[/tex] = [tex]2^{n-1}[/tex] → C

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