What is the question here that I should answer?
3x+7-5x=8
-2x+7=8
-2x=1
X=-1/2
y=3(-1/2)+7
y=-1.5+7
y=5.5
<u>Given</u>:
The given expression to find the nth term of the sequence is ![d(n)=d(n-1) \cdot (-5)](https://tex.z-dn.net/?f=d%28n%29%3Dd%28n-1%29%20%5Ccdot%20%28-5%29)
The first term of the sequence is ![d(1)=8](https://tex.z-dn.net/?f=d%281%29%3D8)
We need to determine the third term of the sequence.
<u>Second term:</u>
The second term of the sequence can be determined by substituting n = 2 in the nth term of the sequence.
Thus, we have;
![d(2)=d(2-1) \cdot (-5)](https://tex.z-dn.net/?f=d%282%29%3Dd%282-1%29%20%5Ccdot%20%28-5%29)
![d(2)=d(1) \cdot (-5)](https://tex.z-dn.net/?f=d%282%29%3Dd%281%29%20%5Ccdot%20%28-5%29)
![d(2)=8 \cdot (-5)](https://tex.z-dn.net/?f=d%282%29%3D8%20%5Ccdot%20%28-5%29)
![d(2)=-40](https://tex.z-dn.net/?f=d%282%29%3D-40)
Thus, the second term of the sequence is -40.
<u>Third term:</u>
The third term of the sequence can be determined by substituting n = 3 in the nth term of the sequence.
Thus, we have;
![d(3)=d(3-1) \cdot (-5)](https://tex.z-dn.net/?f=d%283%29%3Dd%283-1%29%20%5Ccdot%20%28-5%29)
![d(3)=-40 \cdot (-5)](https://tex.z-dn.net/?f=d%283%29%3D-40%20%5Ccdot%20%28-5%29)
![d(3)=120](https://tex.z-dn.net/?f=d%283%29%3D120)
Thus, the third term of the sequence is 120.
In this case, 7 is being added to the odometer which already reads 78. If you add 7 to 78, you get 85. Meaning y = 85!
For the right triangle to be given in name of three letters such as this, the right angle is most likely to be in the center, in this case letter K. To determine the common trigonometric properties of a certain angle we may use of the mnemonics SOH - CAH - TOA.
sin angle = opposite side / hypotenuse
cosine angle = adjacent side / hypotenuse
tangent angle = opposite side / adjacent side
If we let small letter j, k, and l be the sides opposite to angles J, K, and L, respectively. Then, the cos (L) will be,
cos (L) = j/k