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:
D) -50
Step-by-step explanation:
The answer is D.
Numbers below zero would be negative. This eliminates B and A, as they are positive.
Numbers above zero are positive.
<em>The answer is not C because that would be 25 degrees below zero</em>, not 50 below.
That leaves us with D. D is -50, which is also stated as "50 below zero".
So, our best answer would be D.
So you've got a cartesian plane, right? There are two coordinates here. Plot the first one ((3.4)) first. the '3' is on the x axis and the '4' is on the y axis. Go 3 across until you get to 3. and then go 4 up. Put a dot there.
Next, also plot the second one. To do this, go to 3 on the x axis, and then go down until you get to -7 on the y axis. Plot your point with a dot. Then, join the dots up, and hopefully, it'll be a linear relationship!
2/3
1/8
Would be the simplest forms
Answer:
1) The sequence is arithmetic as the same value is added each time (there is a common difference between terms).
2) First term of the sequence = -9
3) sequence generator = + 4
Step-by-step explanation:
1) The sequence is arithmetic as the same value is added each time (there is a common difference between terms).
2) First term of the sequence = -9
3) sequence generator = + 4
