Question

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 7 vertices, the second shape has 13 vertices, and the third shape has 19 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 17 shape to have?

Answer 1

103

Explanation:

appears to be an arithmetic sequence question where sequence is 7, 13, 19 meaning the initial value is 7 and the common difference is 6 so we'll plug into this formula:

`a_(17)` = 7 + (17 - 1) · 6

= 7 + (16 · 6)

= 7 + 96

'7' because that's the initial value

'6' because that the common difference

'17' because that's the position the question is asking