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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The formula for tan is opposite/adjacent.
This being said, 12/13 would equal approximately 0.923077.
Hope this helps. ^^
<span>What is 1990 divided by 24?
1990 divided by 24 is 82 with a remainder of 22 or 83 r</span><span>ounding to the whole number.</span>
Answer:
x = 5.14
Step-by-step explanation:
Both angles are equal so
5x-6 = 11x-42
42-6 = 11x - 5x
36 = 7x
x = 5.14
Answer:
C) the factory produces 25 chairs per hour
Step-by-step explanation:
Let's find the rate of change (slope):
