Question

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Answer 1

Answer:

(a) 2n + 1

(b) 23

(c) 41

Step-by-step explanation:

The repeating shape is a triangle.

Number of triangles from 2 onwards, are placed in such a manner that number of sides overlap.  As a result, number of line follows the rule:

For n shapes, number of overlapping sides is (n - 1)

(a) Therefore, n number of triangles placed like this will have, number of line segments = (n x 3) - (n - 1) = 3n - n + 1 = 2n + 1

(b) n = 11, 2n+1 = 22 + 1 = 23

(c) n = 20, 2n + 1 = 40 + 1 = 41

Answer 2

Answer:

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