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 :]

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- anonymous

- chestercat

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- carlsmith

Homework?

- 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

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

Layer 1 - 1
Layer 2 - 4
Layer 3 - 9
Layer 4 - 16
Layer 5 - 25
Total = 55, so 5 layers!

- anonymous

thank you i just thought the question was worded weirdly

- carlsmith

No problem. All the best.

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