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(n-1) where n is the day number

on day 10

1+4(10-1)=37

on day fifty

1+4(50-1)=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^2-2n+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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