What is the sum of the geometric series?

Step-by-step explanation:

Since you are only going out 4 terms, you could just list the terms and add.

5*(-2/3)^0 = 5 * 1 = 5

5*(-2/3)^1 = 5 *(-2/3) = -10/3

5*( - 2/3)^2 = 5*(-2/3)^2 = 5*(4/9) = 20/9

5*(-2/3)^3 = 5*(-2/3)^3= 5 *(-8/27) = -40/27

Answer

5 - 10/3 + 20/9 - 40/27

5 - 90/27 + 60/27 - 40/27

5 - 70/27

2 11/27

y=mx+

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.