Select the function that represents a geometric sequence.
o
o
o
a. a(n) = p + (n-1); • p, where n is a positive integer
b. a(n) = p(1 + i)n-1, where nis any real number
c. a(n) = p(1 + i)n-1, where nis a positive integer
o
d. a(n) = p+(n-1); • p, where nis any real number

i believe the answer is d.

hope it you! : d

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.