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Question
See the following pattern carefully:
- If n denotes the number of figures and S denotes the number of matches; find S in terms of n.
- Find how many matches are required to make the :
(1) 15th figure
(2) 40th figure - Write a discretion of the pattern in words.
Sum
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Solution
-
n 1 2 3 4 S 7 10 13 16
S = 3n + 4 - (1) 15th figure has = 3 x 15 + 4 = 49 matches
(2) 40th figure has = 3 x 40 + 4 = 124 matches - It can easily be observed that each time the figure (n) is increased by 4, the number of matches (S) increased by 3.
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