QUESTION 12
ii
Easy
Look at the first three stages of a growing pattern of hexagons made using matchsticks. A new hexagon gets added at every stage which shares a side with the last hexagon of the previous stage. Complete the following table.
SOLUTION
The pattern increases by 5 matchsticks each stage.
| Stage Number | 1 | 2 | 3 | 4 | 5 | n |
|---|---|---|---|---|---|---|
| Number of Matchsticks | 6 | 11 | 16 | 21 | 26 | ? |
Concept Note
The number of matchsticks increases by a fixed amount each stage, so the following stages can easily be calculated.