Help please.............
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Hello!
First of all we find the slope by dividing the difference of the y values by the difference of the x values as seen below.
The slope of our line is 7/2, or 3.5
-------------------------------------------------------------
Now we will put the slope and a point on our line into slope intercept form and solve for b. We will use (-3,11).
11=3.5(-3)+b
11=10.5+b
b=0.5
Our final equation is shown below.
y=3.5x+0.5
I hope this helps!
First of all we find the slope by dividing the difference of the y values by the difference of the x values as seen below.
The slope of our line is 7/2, or 3.5
-------------------------------------------------------------
Now we will put the slope and a point on our line into slope intercept form and solve for b. We will use (-3,11).
11=3.5(-3)+b
11=10.5+b
b=0.5
Our final equation is shown below.
y=3.5x+0.5
I hope this helps!
Assuming the series is
The series will converge if
We have
So the series will certainly converge if
, but we also need to check the endpoints of the interval.
If
, then the series is a scaled harmonic series, which we know diverges.
On the other hand, if
, by the alternating series test we can show that the series converges, since
and is strictly decreasing.
So, the interval of convergence for the series is
.
The series will converge if
We have
So the series will certainly converge if
If
On the other hand, if
and is strictly decreasing.
So, the interval of convergence for the series is