Respuesta :
For the answer to the question above,
f(x) = k*b^x
k is the value of your thing (in this case number of people) after 0 iterations. b would be the rate that the thing grows, in this case by 17%. x is the number of iterations (towns) that have been expanded to, hence how many times 1.17 is compounded. So our equation would look like this:
f(x) = 8(1.17)^x
simply plug in the number of towns he has. So in this case 16.
f(16) = 8(1.17)^16
do the math (simplify)
f(16) = 98.64...
you can't have 0.64 of a person so we round down because that guy hasn't been "created" yet.
after 16 villages 98 people
f(x) = k*b^x
k is the value of your thing (in this case number of people) after 0 iterations. b would be the rate that the thing grows, in this case by 17%. x is the number of iterations (towns) that have been expanded to, hence how many times 1.17 is compounded. So our equation would look like this:
f(x) = 8(1.17)^x
simply plug in the number of towns he has. So in this case 16.
f(16) = 8(1.17)^16
do the math (simplify)
f(16) = 98.64...
you can't have 0.64 of a person so we round down because that guy hasn't been "created" yet.
after 16 villages 98 people
Answer:
84 villagers
Step-by-step explanation:
This is a geometric sequence, so you would use the explicit formula of an = a1r^(n − 1)
n=16 and the r=1.17
Plug that into the equation and it reads a(16)=8*1.17^15 =84.309 and since you cant have a .309 of a villager you round down for a total of 84 villagers.