Answer:
19/3
Step-by-step explanation:
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

Total distance = 20 km = 20 000 m
walk = 800 m
cycle = 20 000 - 800 = 19 200m
percentage of the journey =

x 100% = 96%
Answer:
x = 5, y = 20
Step-by-step explanation:
Since AB and CD are parallel, then
∠ AOC and ∠ OCD are Alternate angles and congruent, thus
12x + 8 = 68 ( subtract 8 from both sides )
12x = 60 ( divide both sides by 12 )
x = 5
-------------------------------
∠ OCD and 5y + 12 are adjacent angles and supplementary, thus
5y + 12 + 68 = 180 , that is
5y + 80 = 180 ( subtract 80 from both sides )
5y = 100 ( divide both sides by 5 )
y = 20
25 5
— -4x = -9x+ —
6 6
-4x + 9x = 5/6 - 25/6
5x = -10/3
Answer : x=-2/3