Which formula represents this sequence:5, 8, 11, ..

Choices A) 4nB) 3n + 2C) n + 6D)5n -2

B) 3n +2

Step-by-step explanation:

3*1+2=5

3*2+2=8

3*3+2=11

or,

tn=a+ (n-1)d

=5+(n-1)*3

=5+3n-3

=3n+2

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.