All three series converge, so the answer is D.
The common ratios for each sequence are (I) -1/9, (II) -1/10, and (III) -1/3.
Consider a geometric sequence with the first term <em>a</em> and common ratio |<em>r</em>| < 1. Then the <em>n</em>-th partial sum (the sum of the first <em>n</em> terms) of the sequence is
Multiply both sides by <em>r</em> :
Subtract the latter sum from the first, which eliminates all but the first and last terms:
Solve for 
:
Then as gets arbitrarily large, the term 
will converge to 0, leaving us with
So the given series converge to
(I) -243/(1 + 1/9) = -2187/10
(II) -1.1/(1 + 1/10) = -1
(III) 27/(1 + 1/3) = 18
Just type it into the graphing calculator, but reorder and solve for y first.
x + y = 9
y = 9 - x
y = x^2
In the graphing calculator,
Y1 = 9 - x,
Y2 = x^2
If you don't have a graphing calculator try desmos.
Answer:
1
Step-by-step explanation:
1. To get the slope, you need to divide the rise by the run.
2. Pick two points each on the X-axis and pick corresponding points on the Y axis and then name them y2, x2 and y1, x1.
3. The rise will be y2-y1
4. The run will be x2-x1
5. Therefore, the slope is rise/run = (y2-y1)/(x2-x1)
In this case, let's take 2 on the X axis as x2 and the corresponding point on the Y axis as y2 which in this case happens to also be 2.
Now, let's take 1 on the X axis as x1 and the corresponding point on the Y axis as y1 which is also 1.
now using the formula (y2-y1)/(x2-x1), we get: slope = (2-1)/(2-1) = 1
<h2>
Answer:</h2>
y = 5
<h2>
Step-by-step explanation:</h2>
<em>Solution:</em>
7y = 5y + 10
7y - 5y = 10
2y = 10
= 
y = 5
<em>Checking:</em>
7y - 5y = 10
7(5) - 5(5) = 10
35 - 25 = 10 ✓
<h2>#Brainliest</h2><h2>#CarryOnLearning</h2>
