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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C B A are the orders of the answers
Answer:
See below
Step-by-step explanation:
What we can do is try it out.
20*0.6=12
since 0.6 is left
now we increase 12 by 40, or multiply it by 1.4
12*1.4= 16.8
See what is happening here is that at first when we are decreasing it by 40 percent, we are taking 40 percent of 20. However, when we increase that amount by 40 percent, we are now increasing 40 percent of 20 by 40 percent, or increasing 16 by 40 percent. Therefore, we will not get the original amount.
Answer:
Inequality : 4x+8 < 120
x<28
Step-by-step explanation:
Hi, to answer this question we have to apply the next formula:
Perimeter of a rectangle (P)= 2 length +2 width
Where:
Width = x
Length = x+4
Replacing with the values given
P = 2 (x+4) + 2x
P = 2x+8+2x
P=4x+8
Since the perimeter of the rectangle must be less than 120:
4x+8 < 120
Solving for x
4x<120-8
4x<112
x<112/4
x<28
Feel free to ask for more if needed or if you did not understand something.
Divid both sides by 3
x<-3
{x | x<-3}
3rd choice
