Question
Study the given patterns and complete the table that follows :
✓
Answer
(a)It can be observed from the given figures that 2 matchsticks are fixed and 3 matchsticks are added at each step. The general term for the number of matchsticks in a figure will be 3n + 2.
The complete table is
(b)By observing the matchsticks pattern, the general term for the number of matchsticks will be 7n + 1.
(c)By observing the matchsticks pattern, the genera term for the number of matchsticks will be 3n + 2.
The complete table is
| Number of figures formed | 1 | 2 | 3 | 4 | 25 | n |
| Number of matchsticks | 5 | 8 | 11 | 14 | 77 | 3n+2 |
(b)By observing the matchsticks pattern, the general term for the number of matchsticks will be 7n + 1.
| Number of figures formed | 1 | 2 | 3 | 4 | 25 | 50 | n |
| Number of matchsticks | 8 | 15 | 22 | 29 | 176 | 351 | 7n+1 |
(c)By observing the matchsticks pattern, the genera term for the number of matchsticks will be 3n + 2.
| Number of figures formed | 1 | 2 | 3 | 4 | 25 | 100 | n |
| Number of matchsticks | 5 | 8 | 11 | 14 | 77 | 302 | 3n+2 |
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