It is given in the question that,

Since we have the value of r given, so we have to use the formula to find the nth term of the geometric progression, which is

Substituting the values of a and r, we will get

So the correct option is the third option .
Multiply each term by 8 ( to get rid of the fractions)
we get:-
-72 = -16 - k
k = -16 + 72 = 56 answer
Answer:
Use the normal distribution if the population standard deviation is known.
Use the student's t distribution when the population standard deviation is unknown.
Explanation:
A mound-shaped distribution refers to the normal distribution.
A good sample size for testing against the normal distribution should be
n >= 30.
The condition for the sample size is satisfied.
However, we are not given the population standard deviation, therefore it is assumed to be unknown.
Therefore the student's t distribution should be used.
-2,3 is (x1,y1) and (4,-5) is (x2,y2) so you do y2-y1/x2-x1
y2-y1 is -5-3 which is -8 and x2-x1 is 4-(-2) which is 6 so you get
-8/6= -4/3