Answer:
195.25
Step-by-step explanation:
Consider geometric series S(n) where initial term is a
So S(n)=a+ar^1+...ar^n
Factor out a
S(n)=a(1+r+r^2...+r^n)
Multiply by r
S(n)r=a(r+r^2+r^3...+r^n+r^n+1)
Subtract S(n) from S(n)r
Note that only 1 and rn^1 remain.
S(n)r-S(n)=a(r^n+1 -1)
Factor out S(n)
S(n)(r-1)=a(r^n+1 -1)
The formula now shows S(n)=a(r^n+1 -1)/(r-1)
Now use the formula for the problem
Answer:
365 messages
Step-by-step explanation:
x = # text messages)
16.5 = 10 + .10(x - 300)
6.5 = .10x - 30
36.5 = .10x
x = 365
Hello there
36+4=40 people in one bus
In 6 buses how many people?
40•6=240 people are going on the field trip
:D
The student messed up on step one. The proper factoring is (x-4) (x+2)