Question

2.1. Consider the following pattern. 2.1.1 complete the table. (match-sticks were used to make each shape) (6marks) Shape No. of match-sticks Rule 1 4 2 7 3 10 4 13 6 241 10 40 43 21 82​

Answer 1

The rule for this pattern is:

Number of matchsticks = 3n + 1, where n is the shape number.

Using this rule, we can complete the table as follows:

Shape | No. of match-sticks
--- | ---
1 | 4
2 | 7
3 | 10
4 | 13
5 | 16
6 | 19
7 | 22
8 | 25

Therefore, the completed table is:

Shape | No. of match-sticks
--- | ---
1 | 4
2 | 7
3 | 10
4 | 13
5 | 16
6 | 19
7 | 22
8 | 25