Figure D of 4-1
By Grace K, Logan W, Isaac B, Taylor S
The rule x=Figure number y=How many tiles
y= 1+x+x+2+(x+1)(x+3)
Patterns of F0, F4, F5 and F100
F0
Has 6 tiles
we figured this out by following the rule
y= 1+0+0+2 +(0+1))(0+3)
y= 1+2 +1*3
y=6 tiles
F4
Has 42 tiles
y=1+4+4+2+(4+1)(4+3)
y=1+4+4+2+5*8
y=5+2+35
y=42
F5
Has 61 tiles
y=1+5+5+2+(5+1)(5+3)
y=1+5+5+2+6*8
y=1+5+5+2 + 48
y=6+5+2+48
13+48
y=61 tiles
Figure 100
Has 10,606 tiles
y= 1+100+102+(101)(103)
y= 1+100+102 +10,403
y=10,606 tiles in figure 100