Three students each write a function, T(n), that they think can be used to find the
number of toothpicks needed to make the nth figure in the pattern shown.
Use the drop-down menus to explain why each function does or does not represent the
number of toothpicks needed to make the nth figure in the pattern.

the image is given below

since the options are not given so we draw it from the equation

the given equation is

y = (x-1) (x+4)

y = y² + 3x - 4

the above equation is a quadratic equation which will have two roots. if we draw the graph for it, it will look like this

mgxmgzmgzzzlgxhhhx. dlulhx

an = 22 + (n-1) *6

110 seats

step-by-step explanation:

an=a1+(n-1)(d)

a1 = 22   this is the first item in the sequence

d =6   this is how the sequence goes up

a)   an = 22 + (n-1) *6

b) a12 = 22 + (12-1) *6

    a12 = 22+11*6

  a12 = 22 +88

  a12 = 110