The given geometric series as shown in the question is seen to; Be converging with its' sum as 81
<h3>How to identify a converging or diverging series?</h3>
We are given the geometric series;
27 + 18 + 12 + 8 + ...
Now, we see that;
First term; a₀ = 27
Second Term; a₁ = 2(27/3)
Third term; a₂ = 2²(27/3²)
Fourth term; a₃ = 2³(27/3³)
Thus, the formula is;
2ⁿ(27/3ⁿ)
Applying limits at infinity gives;
2^(∞) * (27/3^(∞)) = 0
Since the terms of the series tend to zero, we can affirm that the series converges.
The sum of an infinite converging series is:
S_n = a/(1 - r)
S_n = 27/(1 - (2/3)
S_n = 81
Read more about converging or diverging series at; brainly.com/question/15415793
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Substitute each x and the respecting y to the equation
<h3>
Answer: Choice A</h3>
y axis, x axis, y axis, x axis
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Explanation:
Reflecting an object over the y axis twice will have it end up in its starting position. The same can be said for the x axis as well. It doesn't matter that the x axis reflections aren't grouped next to each other, nor the y. So in a sense, two x axis reflections undo each other, so do the y axis reflections, and we end up with the same image as shown in the diagram.
Answer:
6x = 30
Step-by-step explanation:
6x
Let x = 5
6*5 = 30
6x = 30
Let’s simply step-by-step.
-9+1/4x-6-1/8x
=-9+1/4x+-6+-1/8 x
COMBINE LIKE TERMS:
=-9+1/4 x + -6 + -1/8 x
=(1/4 x + -1/8 x) + (-9+-6)
Answer
=1/8x -15
