Which one of the following is an arithmetic sequence? a. 35, .5, .85, 1.1, 1.22, . . b. 5, 0, −1, −3, −7, . . c. 2, 3, 5, 7, 11, 13, 17, . . d. −2, 1, 4, 7, 10, . .

10

step-by-step explanation:

7+3=10

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.