Answer:
The required recursive formula is:
Step-by-step explanation:
We are given a geometric sequence as:
6,-18,54,-162,.....
Clearly after looking at different terms of the sequence we could observe that the sequence is an geometric progression (G.P.) with common ratio= -3 denoted by r.
Let 
represents the nth term of the sequence.
This means that:
As the common ratio is -3.
so,
Hence, the required recursive formula for the geometric sequence is:
Answer:
3. They're adding by 5 so,
Step-by-step explanation:
Answer:
3
Step-by-step explanation:
The equation of a parabola in vertex form is
y = a(x - h)² + k
where (h, k) are the coordinates of the vertex and a is a multiplier
Here (h, k) = (2, - 4) , thus
y = a(x - 2)² - 4
To find a substitute (3, - 1 ) into the equation
- 1 = a(3 - 2)² - 4 ( add 4 to both sides )
3 = a
Thus
y = 3(x - 2)2 - 4 ← equation in vertex form
= 3(x² - 4x + 4) + 4
= 3x² - 12x + 12 + 4
= 3x² - 12x + 16 ← equation in standard form
with coefficient of x² term = 3
<u>Answer</u>
26.6°
<u>Explanation</u>
You are required to use the trigonometric ratio, sine, to find that angle.
SinФ = opposite/hypotenuse
sin Θ = 2.6/5.8
= 0.4483
The angle Θ = Anti-sine(0.4483)
= 26.633°
The angle the slide makes with the ground, correct to one decimal place is 26.6°
