Posted by **Linda** on Wednesday, October 26, 2011 at 4:40pm.

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 -
**jasmine**, Wednesday, October 26, 2011 at 4:54pm
52.2600.

- Math -
**Reiny**, Wednesday, October 26, 2011 at 5:01pm
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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