2x2-6x= - 8
Simplify both sides
2x(2) = 4x
Combine like terms
4x + (-6x) =-8
-2x = -8
Divide each side by -2
X = 4
The simplest form is 46xy
Since 46 can not be factor out, there is only one x which stay there, and is 5 so the two pairs of y will be canceled and one y left.
There is nothing to solve.
You can simplify the expression by making use of the distributive property and collecting like terms.
.. 7(2 -j) -5
.. = 7*2 -7*j -5
.. = 14 -7j -5
.. = 9 -7j
Answer:
The nth term of the geometric sequence is is 32805
Step-by-step explanation:
The nth term of a geometric sequence is given by
![$ a_n = a_1 \cdot r^{n - 1} $](https://tex.z-dn.net/?f=%24%20a_n%20%3D%20a_1%20%5Ccdot%20r%5E%7Bn%20-%201%7D%20%24)
Where
is the first term and
is the common ratio
We are given the fourth term of this sequence
The common ratio is
![r = -3](https://tex.z-dn.net/?f=r%20%3D%20-3)
Once we find the 1st term then we can find any other term.
![a_4 = a_1 \cdot r^{4 - 1} \\\\a_4 = a_1 \cdot r^{3} \\\\-135 = a_1 \cdot (-3)^{3} \\\\-135 = a_1 \cdot (-27) \\\\a_1 = \frac{-135}{-27} \\\\a_1 = 5](https://tex.z-dn.net/?f=a_4%20%3D%20a_1%20%5Ccdot%20r%5E%7B4%20-%201%7D%20%20%5C%5C%5C%5Ca_4%20%3D%20a_1%20%5Ccdot%20r%5E%7B3%7D%20%20%5C%5C%5C%5C-135%20%3D%20a_1%20%5Ccdot%20%28-3%29%5E%7B3%7D%20%20%5C%5C%5C%5C-135%20%3D%20a_1%20%5Ccdot%20%28-27%29%20%20%5C%5C%5C%5Ca_1%20%3D%20%5Cfrac%7B-135%7D%7B-27%7D%20%5C%5C%5C%5Ca_1%20%3D%205)
So the ninth term of this geometric sequence is
![a_n = a_1 \cdot r^{n - 1} \\\\a_9 = a_1 \cdot r^{9 - 1} \\\\a_9 = a_1 \cdot r^{8} \\\\a_9 = 5 \cdot (-3)^{8} \\\\a_9 = 5 \cdot (6561) \\\\a_9 = 32805](https://tex.z-dn.net/?f=a_n%20%3D%20a_1%20%5Ccdot%20r%5E%7Bn%20-%201%7D%20%20%5C%5C%5C%5Ca_9%20%3D%20a_1%20%5Ccdot%20r%5E%7B9%20-%201%7D%20%20%5C%5C%5C%5Ca_9%20%3D%20a_1%20%5Ccdot%20r%5E%7B8%7D%20%20%5C%5C%5C%5Ca_9%20%3D%205%20%5Ccdot%20%28-3%29%5E%7B8%7D%20%20%5C%5C%5C%5Ca_9%20%3D%205%20%5Ccdot%20%286561%29%20%20%5C%5C%5C%5Ca_9%20%3D%2032805)
Therefore, the nth term of the geometric sequence is is 32805