Question #124742

Rule:×4+2

Jacob is making patterns using marbles such as the one below. Show by means of a flow chart and a table, how many marbles he will use for the 6th pattern, the 11th pattern, the 41st pattern and the 100th pattern. Write down the rule for this pattern.

Jacob is making patterns using marbles such as the one below. Show by means of a flow chart and a table, how many marbles he will use for the 6th pattern, the 11th pattern, the 41st pattern and the 100th pattern. Write down the rule for this pattern.

Expert's answer

Rule:×4+2 implies nth term is given by :

So , the pattern sequence goes like : 6,10,14,18,22,...

Thus, 6th pattern is 4*6+2= 26

11th pattern is 4*11+2= 46

41st pattern = 4*41+2=166

100th pattern =4*100+2 =402

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