Question 1138441
this takes the form of a geometric progression.


in a geometric proression, .....


An = A1 * R ^ (n-1)


Sn = A1 * (1 - R^n) / (1 - R)


since A1 = 200 and n = 8, and R = 1.05, you get:


A8 = 200 * 1.05 ^ 7 = 281.4200845


S8 = 200 * (1 - 1.05^8) / (1 - 1.05) = 1909.821775.


a quick check using excel shows this to be true.


<img src = "http://theo.x10hosting.com/2019/040711.jpg" alt="$$$" >


rounded to the nearest cent, this is equal to 1909.82.