A geometric sequence is defined by a starting point, 
, and a common ratio 
The first term is , and you get every next term by multiplying the previous one by r.
So, our terms are
![\left[\begin{array}{c|c}a_1&a\\a_2&ar\\a_3&ar^2\\a_4&ar^3=-12\\a_5&ar^4=-6\end{array}\right]](https://tex.z-dn.net/?f=%5Cleft%5B%5Cbegin%7Barray%7D%7Bc%7Cc%7Da_1%26a%5C%5Ca_2%26ar%5C%5Ca_3%26ar%5E2%5C%5Ca_4%26ar%5E3%3D-12%5C%5Ca_5%26ar%5E4%3D-6%5Cend%7Barray%7D%5Cright%5D)
We can see that when we pass from 
to 
the number gets halved (
)
This implies that the common ratio is 
So, the table becomes
![\left[\begin{array}{c|c}a_1&a\\a_2&\frac{1}{2}a\\a_3&\frac{1}{4}a\\a_4&\frac{1}{8}a=-12\\a_5&\frac{1}{16}a=-6\end{array}\right]](https://tex.z-dn.net/?f=%5Cleft%5B%5Cbegin%7Barray%7D%7Bc%7Cc%7Da_1%26a%5C%5Ca_2%26%5Cfrac%7B1%7D%7B2%7Da%5C%5Ca_3%26%5Cfrac%7B1%7D%7B4%7Da%5C%5Ca_4%26%5Cfrac%7B1%7D%7B8%7Da%3D-12%5C%5Ca_5%26%5Cfrac%7B1%7D%7B16%7Da%3D-6%5Cend%7Barray%7D%5Cright%5D)
So, we can derive the starting point from either or :
The sequence is thus
![\left[\begin{array}{c|c}a_1&-96\\a_2&-48\\a_3&-24\\a_4&-12\\a_5&-6\\a_6&-3\\\vdots&\vdots\end{array}\right]](https://tex.z-dn.net/?f=%5Cleft%5B%5Cbegin%7Barray%7D%7Bc%7Cc%7Da_1%26-96%5C%5Ca_2%26-48%5C%5Ca_3%26-24%5C%5Ca_4%26-12%5C%5Ca_5%26-6%5C%5Ca_6%26-3%5C%5C%5Cvdots%26%5Cvdots%5Cend%7Barray%7D%5Cright%5D)
And the recursive formula is
The answer would be C, y=3x-5
To answer this item, first we subtract the $100 payment Alex made from the previous balance. That will give us an answer of $3,594.23. Then, we add the new transaction to the calculated value above giving us $3829.23. Multiplying the new transaction by 0.192 and adding the answer to $3829.23 will give us an answer of $3,874.35. Thus, the nearest answer is the third choice.
Answer:
B
Step-by-step explanation:
Probability is given by number of possible outcomes ÷ number of total outcomes
Probability (the 11th bulb meets quality standard) = 1/11
Probability (the next bulb will be defective) means it will not meet quality standard = 1 - 1/11 = (11 - 1)/11 = 10/11
