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
I believe it would be 8 sense the other half is 4
So, let's take a look! When doing volume, we always do (addition) and nothing else. The only time that we would have to multiply is if we would have to find the area, but in this case, we are (going to figure) out what would be the volume.
We would sum up the following:
.
I believe that we would multiply this by (2) because we would have to find the other side as well.
And this would give us . . . 64 as it's volume.
V= (64)
Answer:
Explanation:
From the question, we are told that a pet shop sells guinea pigs and goldfish and that the ratio of guinea pigs to goldfish is 20:28.
a) Give this ratio in its simplest form.
The ratio of guinea pigs to goldfish is 20:28. The highest common factor to 20 and 28 is 4. Therefore 20 = 4 × 5 and 28 = 4 × 7. So, the ratio in its simplest form will be 5:7.
b. The shop has a total of 120 guinea pigs and fish. Work out the number of guinea pigs the shop has.
The ratio of guinea pig and goldfish is 5:7. If the shop has a total of 120 guinea pigs and fish, the number of guinea pigs the shop has will be:
= 5/12 × 120
= 5 × 10
= 50 guinea pigs
Answer:
You "FOIL" (First, Outer, Inner, Last).
Step-by-step explanation:
You "FOIL" (First, Outer, Inner, Last). Basically, you have to multiple each term by each of the other terms.
(3x+2)(4x-7)
(3x)(4x) + (17)(3x) + (2)(4x) + (2)(-7)
12x^2 - 21x + 8x - 14
12x^2 - 13x - 14
