Math

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Tile Pattern...
A design starts with 1 tile and it continues to grow the next day to 4 tiles and on the third day there is 13 tiles. How many tiles will there be on the 10th day? How many tiles on the 50th day? Find a formula for any number?

  • Math -

    52.2600.

  • Math -

    Since 1 , 4, 13 do not form either an arithmetic nor a geometric sequence,
    having only 3 terms is not enough information to see the pattern

    e.g. I could claim that the sequence is
    1 4 13 40 121 by claiming that I add increasing powers of 3 to get the next term
    that is,
    1+3 = 4
    4+9 = 13
    13+27 = 40
    40 +81 = 121

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