\"\"

\

a.

\

From the figure :

\

Towers built with two layers should have \"\" cubes, tower built with \"\" layers should have \"\" cubes and towers built with \"\" layers should have \"\" cubes.

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\"\"

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b.

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Complete the table :

\

Records the number of layers in the tower and the number of cubes in the table.

\ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \
Layers\"\"\"\"\"\"\"\"\"\"\"\"\"\"
Cubes\"\"\"\"\"\"\"\"\"\"\"\"\"\"
\

 

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\"\"

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c.

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Find the number of cubes in the tower change as the number of layers in the tower increases :

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From the table, tell that each layer adds \"\" more cubes.

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Notice that, \"\"

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Each layers add \"\" more cubes to the tower.

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\"\"

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d.

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Write a rule that gives the number of cubes in terms of the number of layers in the tower.

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Find number of cubes in term of layers :

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Let the number of cubes is \"\".

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The number of cubes is \"\" times the number of layers, or \"\".

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Therefore, the number of cubes is \"\", where \"\" is the number of layers in the tower.

\

\"\"

\

a.

\

Towers built with two layers should have \"\" cubes,tower built with \"\" layers should have \"\" cubes and towers built with \"\" layers should have \"\" cubes.

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b.

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Tabular form:

\ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \
Layers\"\"\"\"\"\"\"\"\"\"\"\"\"\"
Cubes\"\"\"\"\"\"\"\"\"\"\"\"\"\"
\

c.

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Each layers adds \"\" more cubes to the tower.

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d.

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The number of cubes is \"\" times the number of layers, or \"\".