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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Add 2x + 5 and 4x - 7
Then you isolate the variable or “get rid of” the numbers that re stopping you from getting “x”.
By doing the inverse operation.
If you add ___ you subtract ____ it form itself
If you subtract ___ you add ____ To itself.
So you Cancel out by getting rid of the other numbers.
Same thing with multiplying and dividing.
If you multiply ____ you divide___ but don’t divide “x”
Only the integer.
If you divide _____ you multiply ____ it
Answer:
The side of the square is 5.971 cm
Step-by-step explanation:
If the square fits the circle exactly, then its diagonal is equal to the diameter of the circle. Since the side of the square has a length of 
cm, then it's diagonal have the length of 
cm. Using the circle's area we can find the diagonal of the square, as shown below:
Since the diameter of the circle is the same as the diagonal of the square, then:
The side of the square is 5.971 cm
