What is the explicit rule for the geometric sequence? 4.05,1.35,0.45,0.15,...
1 answer:
Step-by-step explanation:
Since the above sequence is a geometric sequence
For an nth term in a geometric sequence
That's
where
r is the common ratio
a is the first term
n is the number of terms
From the question
a = 4.05
r = 1.35 / 4.05 = 0.33
Substitute the values into the above formula
We have
Hope this helps you
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Answer:
The equation in the slope-intercept form will be:
y = 1/4x - 7
Step-by-step explanation:
Given the points
- (-4.-8)
- (-8, -9)
We know that the slope-intercept of line equation is
where m is the slope and b is the y-intercept
substituting m = 1/4 and the point (-4, -8) to find the y-intercept 'b'
y = mx+b
-8 = 1/4(-4)+b
-8 = -1 + b
b = -8+1
b = -7
so the y-intercept = b = -7
substituting m = 1/4 and b = -7 in the slope-intercept form of line equation
y = mx+b
y = 1/4x + (-7)
y = 1/4x - 7
Thus, the the equation in slope-intercept form will be:
y = 1/4x - 7
Answer:
No
Step-by-step explanation:
If the lines are perpendicular then they will be the negative reciprocals of each other.
Calculate the slope using the slope formula
m = (y₂ - y₁ ) / (x₂ - x₁ )
with (x₁, y₁ ) = P(- 8, - 10) and (x₂, y₂ ) = Q(- 5, - 12)
=
= -
Repeat the process with
(x₁, y₁ ) = R(9, - 6) and (x₂, y₂ ) = S(17, - 5)
=
=
The slopes are not the negative reciprocal of each other, thus they are not perpendicular.