For a soccer game has been on sale 4 types of locations. The ticket prices for different locations form a geometric progression. If a person bought a ticket for each locality would spend 32.5 dollars and would see that the price of the most expensive is 3,375 times the price of the cheapest. What are the values of the different localities
a ar ar^2 ar^3
sum of first 4 = a (1-r^4)/(1-r) = 32.5
a r^3 = 3375 a
r^3 = 3375
r = 15
a ( 1-r^2)(1+r^2) /(1-r) = 32.5
a (1+r)(1+r^2) = 32.5
a (16)(226) = 32.5
a = .0089878 about 1 cent :)
ar = .1348
ar^2 =2.02
ar^3 = 30.33 about 30 dollars