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20 November, 05:59

Lily was building towers with her Legos. The first tower that she built had only one LEGO. The second tower had 4 LEGO's. The towers she built after that had 9 and then 16 LEGO's. How many LEGO's would Lily's 100th tower have?

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  1. 20 November, 06:23
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    Here is the pattern of Lily's towers in the form of x, y:

    1, 1

    2, 4

    3, 9

    4, 16

    The equation x^2 fits for this problem, so 100^2 would mean it would take 10,000 LEGOS to build the 100th tower.
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