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Question

This pattern is made from toothpicks. If the pattern is continued by adding two toothpicks to the previous stage, how many toothpicks are used to create the figure for the 15^th stage? FIGURE

Accepted Answer

There are 3 used in the first stage, and 2 in every stage thereafter. Thus, for the 15th stage, there will be 3 + 2(14) = 31 toothpicks used.