Write an equation for the n th term of the arithmetic sequence -4, 1, 6, 11 ... Then find a(50)
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Answer:
Step-by-step explanation:
Solution:-
- We are given a logistic growth model of the fish population cultured. The logistic growth of fish population is modeled by the following equation:
Where, c: the constant to be evaluated.
- We are given the initial conditions for the model where at t = 0. The initial population was given to be:
t = 0 , Po = 160
N ( carrying capacity ) = 9100
- After a year, t = 1. The population was tripled from the initial value. That is P ( 1 ) = Po*3 = 160*3 = 480.
- We will use the given logistic model and set P ( 1 ) = 480 and determine the constant ( c ) as follows:
- The complete model can be written as: