anonymous
  • anonymous
A fruit display in a market is in the shape of a pyramid with one peice of fruit at the top. Each layer below the top forms a square shape with one additional piece of fruit per side. If a total of 55 pieces of fruit are used , and a single piece of fruit at the top counts as a layer,how many layers of fruit will there be? PLEASE SHOW WORK :]
Mathematics
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anonymous
  • anonymous
A fruit display in a market is in the shape of a pyramid with one peice of fruit at the top. Each layer below the top forms a square shape with one additional piece of fruit per side. If a total of 55 pieces of fruit are used , and a single piece of fruit at the top counts as a layer,how many layers of fruit will there be? PLEASE SHOW WORK :]
Mathematics
chestercat
  • chestercat
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At vero eos et accusamus et iusto odio dignissimos ducimus qui blanditiis praesentium voluptatum deleniti atque corrupti quos dolores et quas molestias excepturi sint occaecati cupiditate non provident, similique sunt in culpa qui officia deserunt mollitia animi, id est laborum et dolorum fuga. Et harum quidem rerum facilis est et expedita distinctio. Nam libero tempore, cum soluta nobis est eligendi optio cumque nihil impedit quo minus id quod maxime placeat facere possimus, omnis voluptas assumenda est, omnis dolor repellendus. Itaque earum rerum hic tenetur a sapiente delectus, ut aut reiciendis voluptatibus maiores alias consequatur aut perferendis doloribus asperiores repellat.

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carlsmith
  • carlsmith
Homework?
anonymous
  • anonymous
no just studying this is a question on the practice test can u figure it out i really need help..and please show work ;]
carlsmith
  • carlsmith
This isn't really so hard to figure out. Each layer contains the number of apples on one side times by itself, or squared. There's one on the top layer, 1 * 1 = 1 ~ two on the next layer, 2 * 2 = 4 and three in the next layer, 3 * 3 = 9 and so on. 1, 4, 9, 16, 25. Just keep adding each layer's apples together until you run out of apples.

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anonymous
  • anonymous
Layer 1 - 1 Layer 2 - 4 Layer 3 - 9 Layer 4 - 16 Layer 5 - 25 Total = 55, so 5 layers!
anonymous
  • anonymous
thank you i just thought the question was worded weirdly
carlsmith
  • carlsmith
No problem. All the best.

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