Answer:
112
Step-by-step explanation:
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:
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Answer:
A
Step-by-step explanation:
Answer:
D; x -y = 22
3x + 2y = 246
Step-by-step explanation:
Let us have the bigger number as x and the smaller as y
The difference between the two is 22
Thus, we have it that;
x - y = 22
twice the smaller number; 2(y) added to thrice the larger 3(x) equals 246
3x + 2y = 246
So we have the two equations as;
x -y = 22
3x + 2y = 246
