Question
Make the following patterns using matchsticks and find the general rule. Use a letter-number to write the rule.
✓
Answer
(a)In the given figure there are 4 matchsticks. To get the two similar figures we need 8 matchsticks, for three similar figures 12 matchsticks, and so on.
So, the number of matchsticks in «th figure is An.
(b)Similar as part (a).
General term for n number of figures is 5n.
(c)To get the two similar figures, we just need to add 4 more matchsticks and so on.
The general rule is 4n + 2.
(d)To get the two similar figures, we just need to add 5 more matchsticks in the given figure, and so on.
The general rule is 5n + 2.
(e)To get the two similar figures, we just need to add 4 more matchsticks in the given figure, and so on.
The general rule is 4n + 1.
So, the number of matchsticks in «th figure is An.
(b)Similar as part (a).
General term for n number of figures is 5n.
(c)To get the two similar figures, we just need to add 4 more matchsticks and so on.
The general rule is 4n + 2.
(d)To get the two similar figures, we just need to add 5 more matchsticks in the given figure, and so on.
The general rule is 5n + 2.
(e)To get the two similar figures, we just need to add 4 more matchsticks in the given figure, and so on.
The general rule is 4n + 1.
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