Human Pyramid Are Heavy

Discrete Mathematics Level 4

A human pyramid is built up by several layers. At the top, there is one person, and each subsequent layer has 1 additional person. Each person is supported by the 2 people that are beneath them.

Consider a 9 layer pyramid, which comprises 45 people. Assuming that all the cheerleaders weigh 128 pounds each, and that the weight is equally distributed amongst both supporters, what is the most weight supported by anyone in this pyramid?

How would you generalize this?

Image credit: Wikipedia Pere Lopez

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100 Day Summer Challenge

Human Pyramid Are Heavy

Excel in math and science

Master concepts by solving fun, challenging problems.

It's hard to learn from lectures and videos

Learn more effectively through short, conceptual quizzes.

Our wiki is made for math and science

Master advanced concepts through explanations, examples, and problems from the community.

Used and loved by 4 million people

Learn from a vibrant community of students and enthusiasts, including olympiad champions, researchers, and professionals.

Master advanced concepts through explanations,
examples, and problems from the community.

Learn from a vibrant community of students and enthusiasts,
including olympiad champions, researchers, and professionals.

Master advanced concepts through explanations,
examples, and problems from the community.

Learn from a vibrant community of students and enthusiasts,
including olympiad champions, researchers, and professionals.