Sn=A1(1-r^n)/(1-r)
Sum of a finite geometric series formula
We know the sum, number of terms and rate, so you plug those in.
-255=A1(1-(-4)^4))/(1-(-4)
-255=A1(1-256)/5
-255=A1(-255)/5
-1275=A1(-255)
5=A1
Hope this helped! Let me know if you have any questions.
Answer:
Radius:
Step-by-step explanation:
Given
Solving (a): The radius of the circle
First, we express the equation as:
Where
So, we have:
Divide through by 9
Rewrite as:
Group the expression into 2
Next, we complete the square on each group.
For
1: Divide the
2: Take the
3: Add this
So, we have:
Factorize
Apply the same to y
Add the fractions
Recall that:
By comparison:
Take square roots of both sides
Split
Rationalize
Solving (b): The center
Recall that:
Where
From:
and
Solve for h and k
and
Hence, the center is:
Answer:
7/8
Step-by-step explanation:
add all the popsicles together and subtract the number of blue from the total and put that number over the total and simplify