Answer:
(-1,1).
Step-by-step explanation:
We need to calculate
where R is the radius of convergence.



Applying LHopital rule we obtaing that the limit is 1. So
then R = 1.
As the serie is the form
we center the interval in 0. So the interval is (0-1,0+1) = (-1,1). We don't include the extrem values -1 and 1 because in those values the serie diverges.
Answer:
Step-by-step explanation:
In point slope form, the equation is y-7=(-10/3)(x+9). In slope-intercept form, it is y=(-10/3)x-23.
First find the slope of the line. The formula for slope is
m=(y₂-y₁)/(x₂-x₁)
Using our points, we have
m=(-3-7)/(-6--9) = -10/3
Plug this into point slope form:
y-y₁=m(x-x₁)
y-7=(-10/3)(x--9)
y-7=(-10/3)(x+9)
Using the distributive property:
y-7=(-10/3)*x+(-10/3)*9
y-7=(-10/3)x-90/3
y-7=(-10/3)x-30
Add 7 to both sides:
y=(-10/3)x-23
Answer:
40 more inches of fabric is needed to cover the entire table.
Step-by-step explanation: you add ten inches to every end of the table
We have the sequence 2, 6, 10, 14, 18, ... Always 4 being added, so we can say:
The first term is 2. The added is 4, so,
a1 = 2

Prove:
