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
Ill teach you how to do some of these things so you won't be having to use this site
Answer:
The coordinates of 8i on the a complex plane are
(0, 8i)
Answer:
D. f(-3) = 11
Step-by-step explanation:
When f(x) is divided by x+3, you get a quotient g(x) and a remainder of 11:
f(x) / (x + 3) = g(x) + 11 / (x + 3)
Multiply both sides by x+3:
f(x) = g(x) (x + 3) + 11
Substitute -3 for x:
f(-3) = g(-3) (-3 + 3) + 11
f(-3) = g(-3) (0) + 11
f(-3) = 11
