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Wed 26 Oct, 2011 02:02 pm
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?
@Lindastanich,
The numbers are partial sums of the geometric series:
1+3+9+27+...+3^n
The sum of the first n terms of a geometric series with common ratio r and first term equal to 1 is:
(1-r^n) / (1-r)
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