The correct answer is:
b.) f(n) = 3 • (-2)^(n-1)
Further explanation:
Given sequence is:
3, -6, 12, -24, ...
We have to find the common ratio first.
Common ratio is the ratio between two consecutive terms of a geometric sequence.
It is denoted by r.
So,
General formula for geometric sequence is:
Putting the values of a1 and r
Hence,
The correct answer is:
b.) f(n) = 3 • (-2)^(n-1)
Keywords: Geometric Sequence, Explicit formula
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The expression which represents the perimeter P of the rectangle as a function of L is:
The length and width of a rectangle are denoted by L and W respectively.
Also the diagonal of a rectangle is: 10 inches.
We know that the diagonal of a rectangle in terms of L and W are given by:
( Since, the diagonal of a rectangle act as a hypotenuse of the right angled triangle and we use the Pythagorean Theorem )
Hence, we have:
But we know that width can't be negative. It has to be greater than 0.
Hence, we have:
Now, we know that the Perimeter of a rectangle is given by:
Here we have:
Answer:
The answer to your question is:th first option is correct.
Step-by-step explanation:
Here we have and hyperbola with center (0, 1), and the hyperbola is horizontal because x² is positive.
Equation
y - k = ±
Process
Find a, b
a² = 9
a = 3
b² = 5
b = √5
h = 0 and k = 1
Substitution
y - 1 = ±
Equation 1
y =
Equation 2
y = -