Answer:
A. y = x + 7
Step-by-step explanation:
Slope intercept form is y = mx + b where m is the slope and b is the y-intercept
<em>It gives us the slope, so we can plug that in:</em> y = x + b
<em>Next, it gives us a point, so we can plug in the x and y into our equation and solve for b when (x, y)</em>
y = x + b
7 = (0) + b
7 = b
<em>Last, complete our equation:</em>
y = x + b
y = x + 7
Answer:
One convergence criteria that is useful here is that, if aₙ is the n-th term of this sequence, then we must have:
Iaₙ₊₁I < IaₙI
This means that the absolute value of the terms must decrease as n increases.
Then we must have:
We can write this as:
If we assume that n is a really big number, then:
n + 1 ≈ 1
And we can write:
Then we have the inequality
And remember that this must be in absolute value, then we will have that:
-1 < (x - 2)/3 < 1
-3 < x - 2 < 3
-3 + 2 < x < 3 + 2
-1 < x < 5
The first option looks like this, but it uses the symbols ≤≥, so it is not the same as this, then the correct option will be the second.
