Black and white triangle patterns


This task is about continuing a spatial pattern and writing a rule.
Mani made these shapes with some black and white triangles.
![]() |
![]() |
![]() |
Shape 1 | Shape 2 | Shape 3 |
This table shows the numbers of each colour of triangle Mani used when he made the first five shapes.
Shape number (n)
|
1
|
2
|
3
|
4
|
5
|
i) Number of black triangles (b)
|
1
|
3
|
5
|
7
|
9
|
ii) Number of white triangles (w)
|
3
|
5
|
7
|
9
|
11
|
iii) Total number of triangles (t)
|
4
|
8
|
12
|
16
|
20
|