Solved: Building Blocks A child places cubic building blocks in a row to form the base

Chapter 5, Problem 84

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Building Blocks A child places cubic building blocks in a row to form the base of a triangular design (see figure). Each successive row contains two fewer blocks than the preceding row. Find a formula for the number of blocks used in the design. (Hint: The number of building blocks in the design depends on whether is odd or even.)

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