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:z=20
Step-by-step explanation:
180-124=56
2z+16=56
-16
2z=40
/2
Z=20
Answer:
168 books
Step-by-step explanation:
According to problem, given data are as follows:
Total books for sale = 280 books
Sold on first day = 3 out of 5 books
So, percentage of first day sold = 3 ÷ 5 = 0.6 or 60%
So, we can calculate the total books sold on day one by using following method,
Total books sold on first day = Total books for sale × percentage sold
By putting the value, we get
= 280 books × 60%
= 168 books
Is there more to the question? If not I say D