Answer:
x₁ = 3,29296875
x₂ = 3,276659786
x₃ = 3,279420685
Step-by-step explanation:
This is a recurrent relationship between xₙ₊₁ and xₙ
To get x₁, write the formula with n=0:
Then fill in what you know, x₀=3.2. This gives you x₁.
Repeat for n=1,... and so forth.
Excel can do this effectively, see picture.
By solving a quadratic equation, it can be verified that
The owl population will disappear after 329.12 years
What is a quadratic equation?
At first it is important to know about equation
Equation shows the equality between two algebraic expressions by connecting the two algebraic expressions by an equal to sign.
A two degree equation is known as quadratic equation.
Here, a quadratic equation needs to be solved
The decreasing population, p, of owls in a national park is being monitored by ecologists and is modeled by the equation p=
For population to disappear, p =0
But t = -9.115 is not possible as time cannot be negative
So, the owl population will disappear after 329.12 years
To learn more about quadratic equation, refer to the link-
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