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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Answer:
first find the surface area of one of the square and one of the triangle.
then multiple it by the number of square and triangle they have
finally add the total surface area of the triangle with the total surface area of the square.
Step-by-step explanation:
- for one square
area= base * width
= 10*10
=100
total area of square= number of square * area of one square
t=6*100
t=600
area = 1/2 base * height
= 1/2 *10*8.66
=43.3
total area of triangle=number of triangle* area of one triangle
t2=8*43.3
=346.4
total surface area= total surface area of the square+ total surface area of the triangle
=600+346.4
=946.4 in^2
The ratio of 7200 to 6400 equals 1.125 in decimal form. I hope this helps!:)
First, you need to find the total amount they discounted.
3.66 X 3= $10.97
Since they took off that much, you need to add that to the total cost, which was 62. 31
62.31 + 10.97= $73.29
Finally, to find how much each individual shirt cost, you divided it by 3.
73.29 / 3= $24. 43
The answer is C
