Answer:
9/4
Step-by-step explanation:
Explicit: ![\bols{a_n=9(0.5)^{n-1}}](https://tex.z-dn.net/?f=%5Cbols%7Ba_n%3D9%280.5%29%5E%7Bn-1%7D%7D)
Recursive: ![\bold{a_n=0.5(a_{n-1}),\quad a_1=9}](https://tex.z-dn.net/?f=%5Cbold%7Ba_n%3D0.5%28a_%7Bn-1%7D%29%2C%5Cquad%20a_1%3D9%7D)
<u>Step-by-step explanation:</u>
A certain culture of yeast <u>increases by 50% every three hours</u>
⇒ rate (r) is ![\dfrac{1.5}{3}=0.5](https://tex.z-dn.net/?f=%5Cdfrac%7B1.5%7D%7B3%7D%3D0.5)
A scientist places <u>9 grams</u> of the yeast in a culture dish.
⇒ first term of the sequence (a₁) = 9
The explicit rule for a geometric sequence is: ![a_n=a_1(r)^{n-1}](https://tex.z-dn.net/?f=a_n%3Da_1%28r%29%5E%7Bn-1%7D)
⇒ ![a_n=9(0.5)^{n-1}](https://tex.z-dn.net/?f=a_n%3D9%280.5%29%5E%7Bn-1%7D)
The recursive rule for a geometric sequence is: ![a_n=r(a_{n-1})](https://tex.z-dn.net/?f=a_n%3Dr%28a_%7Bn-1%7D%29)
⇒ ![a_n=0.5(a_{n-1}),\quad a_1=9](https://tex.z-dn.net/?f=a_n%3D0.5%28a_%7Bn-1%7D%29%2C%5Cquad%20a_1%3D9)
Answer:
Step-by-step explanation:
(x + 2)² = (x - 1)(x + 14)
x² + 4x + 4 = x² + 13x - 14
-9x = -18
x = 2
It would be x=1/3 (y+4)^(1/2)
Answer:I’m a try
Step-by-step explanation: