Answer:
The geometric sequence is
36,24,16,
,.......
Step-by-step explanation:
The first term of the g.s is 36.
The 4th term of the given sequence is
.
The
term of the geometric sequence is
![T_n=ar^{n-1}](https://tex.z-dn.net/?f=T_n%3Dar%5E%7Bn-1%7D)
Where a is the first term of the geometric sequence and r is the geometric sequence.
Then 4th term of the sequence is
![T_4=ar^{4-1}](https://tex.z-dn.net/?f=T_4%3Dar%5E%7B4-1%7D)
![\Rightarrow \frac{32}3=36r^3](https://tex.z-dn.net/?f=%5CRightarrow%20%5Cfrac%7B32%7D3%3D36r%5E3)
![\Rightarrow r^3=\frac{32}{3\times 36}](https://tex.z-dn.net/?f=%5CRightarrow%20%20r%5E3%3D%5Cfrac%7B32%7D%7B3%5Ctimes%2036%7D)
![\Rightarrow r=\sqrt[3]{ \frac{8}{27}}](https://tex.z-dn.net/?f=%5CRightarrow%20r%3D%5Csqrt%5B3%5D%7B%20%5Cfrac%7B8%7D%7B27%7D%7D)
![\Rightarrow r=\frac{2}{3}](https://tex.z-dn.net/?f=%5CRightarrow%20r%3D%5Cfrac%7B2%7D%7B3%7D)
Then, second term of the sequence ![=36\times( \frac 23)^{2-1}](https://tex.z-dn.net/?f=%3D36%5Ctimes%28%20%5Cfrac%2023%29%5E%7B2-1%7D)
![=36\times \frac 23](https://tex.z-dn.net/?f=%3D36%5Ctimes%20%5Cfrac%2023)
=24
The third term of the sequence is![=36\times( \frac 23)^{3-1}](https://tex.z-dn.net/?f=%3D36%5Ctimes%28%20%5Cfrac%2023%29%5E%7B3-1%7D)
![=36\times( \frac 23)^2](https://tex.z-dn.net/?f=%3D36%5Ctimes%28%20%5Cfrac%2023%29%5E2)
=16
The geometric sequence is
36,24,16,
,.......
A system with the same slope, but different y-intercepts is parallel lines
Answer:
Its not A and B and I know that, but can you show the rest so I can see if its C because the rest of the picture isn't there
Answer:
only 1/4 produces a rational number when added to 0.5.
Step-by-step explanation:
Answer:
C) y-5x=2
Step-by-step explanation:
y-5x=2
y=5x+2 parrallel to y=5x-5
Can I get brainliest!