contestada


Maria Louisa looks at a sequence of shapes and records the number of vertices in each of the shapes in the sequence. The first shape has
3 vertices, the second shape has 9 vertices, and the third shape has 15 vertices,
if Maria Louisa assumes that the number of vertices in the sequence of shapes follows the same pattern how many vertices would she
expect the 23 shape to have?

Respuesta :

Answer:

The 23rd shape is expected to have 135 vertices

Step-by-step explanation:

The first shape has 3 vertices

Second 9 vertices

third 15 vertices

we can see that this follows an arithmetic pattern of first term 3 and common difference (15-9) = (9-3) = 6

So for the 23rd term, we will have;

a + 22d

so;

3 + 22(6)

= 3 + 132 = 135 vertices

Otras preguntas