Answer:
S = 8
Step-by-step explanation:
An infinite geometric series is defined as limit of partial sum of geometric sequences. Therefore, to find the infinite sum, we have to find the partial sum first then input limit approaches infinity.
However, fortunately, the infinite geometric series has already set up for you. It’s got the formula for itself which is:

We can also write in summation notation rather S-term as:

Keep in mind that these only work for when |r| < 1 or else it will diverge.
Also, how fortunately, the given summation fits the formula pattern so we do not have to do anything but simply apply the formula in.

Therefore, the sum will converge to 8.
Please let me know if you have any questions!
Answer:
y = 24
angle V = 67
as a 4 sided shape, the angles all have to add up to 360 degrees.
we already have the answers for R, 120, and B, 53. We have 187 degrees left to work with.
Based of the information the tics on the sides of the figure gives us, we know that angle P and R are the same! First (just for fun, this isn't needed) we'll find X.
(x+95) = 120
-95 -95
x = 25
We know 3/4 angles now, so by subtracting their sum from 360, we'll find angle V!
360 - 53 -120 - 120 = 67
Angle V is 67
Now to find y!
(2y+19)=67
-19 -19
2y = 48
/2 /2
y = 24
6/4 or 1 and 2/4 thats a pretty easy question
Answer:
C) 11:12
Step-by-step explanation:
22:24 which reduced to 11:12