Explanation
Given that Sn = Sn-2 . (Sn-1 - 1)
Tn = Sn - Sn-1
Tn = Sn-2 . (Sn-1 - 1) - (Sn-3 . (Sn-2 - 1))
T3 = S1.(S2-1) - (S0.(S1-1)
T3 = 2.(3-1) - 1.(2-1)
T3 = 2(2) - 1(1)
T3 = 4-2
T3 = 3
T4 = S2.(S3-1) - (S1.(S2-1)
T4 =3.(-1) - 1.(2-1)
T4 = 2(2) - 1(1)
T4 = 4-2
T4 = 3
Bearing in mind a
regular polygon has all equal sides, check the picture below.
Using a linear function, we have that:
a) The amount of water in the aquarium at 0 minutes is of 300 liters.
b) As time increases, the amount of water decreases at a rate of 60 liters per minute.
<h3>What is a linear function?</h3>
A linear function is modeled by:
y = ax + b
In which:
- a is the slope, which is the rate of change, that is, by how much y changes when x changes by 1.
- b is the y-intercept, which is the value of y when x = 0, and can also be interpreted as the initial value of the function.
In this problem, we have that the y-intercept is of 300, hence the amount of water in the aquarium at 0 minutes is of 300 liters.
The amount <u>decreases 60 liters in a minute,</u> hence:
As time increases, the amount of water decreases at a rate of 60 liters per minute.
More can be learned about linear functions at brainly.com/question/24808124
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Given a radius
, the volume of a sphere is given by

We can solve this formula for the radius, given the volume:
![r=\sqrt[3]{\dfrac{3V}{4\pi}}](https://tex.z-dn.net/?f=r%3D%5Csqrt%5B3%5D%7B%5Cdfrac%7B3V%7D%7B4%5Cpi%7D%7D)
We can plug our value for the volume to get the radius:
![r=\sqrt[3]{\dfrac{3\cdot 12\pi}{4\pi}}=\sqrt[3]{9}](https://tex.z-dn.net/?f=r%3D%5Csqrt%5B3%5D%7B%5Cdfrac%7B3%5Ccdot%2012%5Cpi%7D%7B4%5Cpi%7D%7D%3D%5Csqrt%5B3%5D%7B9%7D)