Which sequence is modeled by the graph below?
coordinate plane showing the points 2, 1; 3, 3; and 4, 9
an = one third(27)n − 1
an = 27(one third)n − 1
an = one third(3)n − 1
an = 3(one half)n − 1

C is correct.

Step-by-step explanation:

We need to choose correct model by the graph which passes through the points (2,1) (3,3) and (4,9)

Option 1:

Put n=2 and to get a₂=1

False

Option 2:

Put n=2 and to get a₂=1

False

Option 3:

Put n=2 and to get a₂=1

TRUE

Similarly, we will check (3,3) and (4,9)

and we will get true

Hence, The sequence is

your answer would be 12

solution:

the given function is ,

      =

the three roots of this quadratic function is , 0 ,8 and 10.all the roots are real and rational.

if a quadratic equation is of the form ,

sum of the roots = a + b +c= 0+8+10=18=  

product of roots taken two at a time = a b + b c+ c a = 0+80+0=80 =  

product of roots = a b c = 0=  

there are 11 doors in a hall starting from 0 to 11.the entry in the hall is permitted through gate number 0 and exit is allowed through only gate number 8 and 10.so, three roots(0,8,10) of quadratic function is given by entry and exit route of this hall.