That would be 3AB because of the expression you have
The geometric series is convergent and the value is 16.
<h3>How to illustrate the information?</h3>
Recall that the sum of an infinite geometric series, S, given first term, t_1, and common ratio, r, is given by:
S = t_1/(1 - r)
Note that:
3 = (4)(3/4)
9/4 = (3)(3/4)
27/16 = (9/4)(3/4)
So this a geometric series with t_1 = 4 and r = 3/4. Therefore:
4 + 3 + 9/4 + 27/16 + ... = 4/(1 - 3/4) = 4/(1/4) = 16
The correct option is 16.
Learn more about geometric series on:
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Determine whether the geometric series is convergent or divergent. If it is convergent, find its sum
4+3+ 9/4 +27/16 +???
choices are
1. 3/4
2. 12
3. 4
4. divergent
5. 16
Answer:
What kind of question is it?
Answer:
-9/4, -0.75, -6/10, 5/3, 2.1
Step-by-step explanation:
This is a lot easier to figure out if you simplify the fractions and then change them to decimals
So -9/4 = -2 1/4 or -2.25
-0.75
-6/10 = -0.60
5/3 = 1 2/3 or 1.67
2.1
When you are ordering negatives, the biggest negative is the least. That is why -9/4 (-2.25) is the least number out of the five given.
The next one would be -0.75, because it is the second biggest negative fraction.
The next one is -0.60 because that is the 3rd biggest negative fraction (or the smallest because this is the last negative)
Now, because we're in the positives we start with 1.67, because it is smaller than the other number.
2.1 is our last number, so it is the greatest!
I hope this helped :)
Answer:
13 meters
Step-by-step explanation:
Adjacent sides form half the perimeter, so the sum of the unknown side and the given side is 34/2 = 17 meters.
4 meters + width = 17 meters
width = 13 meters . . . . . subtract 4 meters
