Answer:
the explicit formula for the geometric sequence 2,6,18,54 is 
2,6,18,54
Step-by-step explanation:
In the sequence given: 2,6,18,54
The common ration is 3 because
a₁ = 2
a₂= 2*3 =6
a₃ = (2*3)*3 = 2*3^2 = 18
a₄= (2*3*3)*3 =2*3^3 = 54
Here we see for a₂ 3 has power 1, for a₃ 3 has power 2 and so on.
So, the formula will be

Here aₙ is the no of term.
a₁ is the first term of the sequence
and r is the common ratio among the sequence.
Answer:
Maxima and minima are+ 4,-4; 2.67,-3; 2.2, -2.6, respectively.
The first and most noticeable wavelengths are 2 m and around 15 m however the 3-and 5-point filters gradually decrease the amplitude of the 2-m wave-length.
Answer:
Where's the question? Lol
Step-by-step explanation:
Answer:h=-2
Step-by-step explanation:
Equation:h(-6) = |2(-6) +1| +1
Step 1: Simplify
=-6h=12
Step 2:Divide both sides of the equation by -6
-6h/-6=12/-6
h=-2
Since the given line

has slope

The equation of the line perpendicular to it must have a slope which is the negative reciprocal of ,

The slope of the perpendicular line

Using the slope intercept form,

We substitute

This implies that,

Since

lies on this line , it must satisfy its equation.
That is

This implies that



The line therefore has equation,