Generalise the given pattern using match sticks as an algebraic expression, by finding the number of match sticks required to make the nth term.
A
6n
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B
3n - 3
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C
3n + 3
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D
2n + 3
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Solution
The correct option is C 3n + 3 By comparing each term and the number of match sticks used, we can see a pattern. By generalising the pattern we will get,
So, when n=1 3n + 3 = 3 x 1 + 3 = 6 When n = 2, 3n + 3 = 3 x 2 + 3 = 9.....