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.
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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
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True because if you did 180°-270° it would be in quadrant 3 or it could be on quadrant 2 because quadrant 2 is 90-180
Answer: 9 meters
Step-by-step explanation:
Hi, to answer this question we have to apply the formula:
Surface area if a cylinder (S)= 2 π r2 + 2 π r h
Where r is the radius and h is the height
Diameter is equal to 2r , so in our case:
14 =2r
r = 14/2 = 7 meters
Replacing with the values given and solving for h:
224 pi = 2 π 7^2 + 2 π 7 h
224 π - 2 π 7^2 / 2 π 7= h
703.71 -307.87 /43.98 = h
9 = h
