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:
Step-by-step explanation:
From the given data
we observed that the missile testing program
Y1 and Y2 are variable, they are also independent
We are aware that
have
distribution with 1 degree of freedom
and
has x^2 with 2 degree of freedom

Since we have to find the density formula

We use method of transformation

There inverse function is 
We derivate the fuction above with respect to u

Therefore,

Answer:
numbers are 3x,2x,5x
so 3x+2x+5x=10x=840
so x=84
so numbers are 252,168,420
Answer:
B
Step-by-step explanation:
The formula for volume of cylinder is given below:
volume of cylinder = 
Where r is the radius (here, it is given as 3)
h is the height, the perpendicular distance from base to top (here, it is 4 NOT 5 since 5 is the 'slant height')
Plugging in the available info , we get our answer:

B is the correct answer