Posted by Erica on Monday, March 5, 2012 at 1:58pm.
the design below grows each day, as shown. if the pattern continues to grow like this, how many tiles will there be in the design on the tenth day? on the fiftieth day?
Day 1 1 tile
Day 2 5 tiles
Day 3 13 tiles

Math  Susan, Monday, March 5, 2012 at 2:23pm
1+4(n1) where n is the day number
on day 10
1+4(101)=37
on day fifty
1+4(501)=197

Math  Steve, Monday, March 5, 2012 at 3:52pm
Day 3 does not fit: 1+4*2 = 9
Since the difference is changing by 4 each day, we will have a quadratic:
Day n: 2n^2  2n + 1

Math  Sandro, Friday, April 27, 2012 at 5:50pm
What do you mean by the ^ in your equation Steve? I don't really understand the 2n^22n+1. I did figure out it was a quadratic equation, and actually happened to figure out the entire problem until I noticed it said "Write a description or formula that allows me to figure out the number of tiles for any day number?"

Math  Sandro, Friday, April 27, 2012 at 6:21pm
Oh, ok, do you mean to cube the first number by the 2nd, get back to me... Thnx

Math  Sandro, Friday, April 27, 2012 at 7:09pm
Steve is wrong!!! D:
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