Answer:
=
+ 3 ; a₁ = 1
Step-by-step explanation:
Given
1, 4, 7, 10, 13, 16, ......
Note the difference in consecutive terms is constant, that is
4 - 1 = 7 - 4 = 10 - 7 = 13 - 10 = 16 - 13 = 3
Thus to obtain the next term in the sequence ( recursive formula )
Add 3 to the previous term
=
+ 3 ( with a₁ = 1 )
we can use formula
![f_L=f_s(\frac{v_a-v_p}{v_a+v_p} )](https://tex.z-dn.net/?f=f_L%3Df_s%28%5Cfrac%7Bv_a-v_p%7D%7Bv_a%2Bv_p%7D%20%29)
where
fL is listener frequency
fs is siren frequency
va is the speed of sound in air
vs is police car speed
so, we have
![f_s=2000Hz](https://tex.z-dn.net/?f=f_s%3D2000Hz)
![v_a=345m/s](https://tex.z-dn.net/?f=v_a%3D345m%2Fs)
![v_p=65mph](https://tex.z-dn.net/?f=v_p%3D65mph)
now, we can change it into m/s
![v_p=65*\frac{1609}{3600}m/s](https://tex.z-dn.net/?f=v_p%3D65%2A%5Cfrac%7B1609%7D%7B3600%7Dm%2Fs)
![v_p=29.05139m/s](https://tex.z-dn.net/?f=v_p%3D29.05139m%2Fs)
now, we can plug it
![f_L=2000(\frac{345-29.05139}{345+29.05139} )](https://tex.z-dn.net/?f=f_L%3D2000%28%5Cfrac%7B345-29.05139%7D%7B345%2B29.05139%7D%20%29)
..............Answer
Y=-3x+7..................
Answer:
No picture
Step-by-step explanation:
here is the answer I just took a picture because I already answered this for someone eles