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murzikaleks [220]
3 years ago
7

Match the type of sequence to the appropriate example

Mathematics
1 answer:
notsponge [240]3 years ago
4 0

Step-by-step explanation:

1)

Considering the sequence

2, 9, 16, 23,...

This sequence is an arithmetic sequence as the common difference between consecutive terms is constant.

i.e. d = 9-2 = 7, d = 16-9 = 7, d = 23-16 = 7

2)

Considering the sequence

3, 15, 75, 375,...

This sequence is geometric sequence as the common ratio between consecutive terms is constant.

i.e. r = 15/3 = 5, r = 75/15 = 5

3)

Considering the sequence

0,4,4,8,...

This sequence is not in arithmetic sequence as the common difference is not same.

This sequence is also not in geometric sequence as the common ratio is not same.

As the 2nd and 3rd term is repeating, it means the next term i.e. 5th would be 8 as the 4th term is 8.

So, it will be a recursive sequence.

4)

y=(1.1)^{x}

As the base of this exponential function is greater than 1.

i.e. base>1 because 1.1 > 1.

Therefore, this function will have exponential growth.

5)

y=(\frac{1}{4})^{x}

As the base of this exponential function is less than 1. i.e. base because 1/4 < 1.

Therefore, this function will have exponential decay.

Keywords: exponential decay, exponential growth, arithmetic sequence, geometric sequence, recursive sequence

Learn more sequences from brainly.com/question/2984255

#learnwithBrainly

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PLEASE HELP PLEASE PLEASE
Phantasy [73]
-2(-2)^4 + 5(-2)^2 - 4

-2(-2)= 4. 4^4= 16

5(-2)= -10. -10^2= 100 - 4= 96

96 + 16= 112

Answer: 112
8 0
3 years ago
Farmer Ed has 9,500 meters of fencing,
Andreas93 [3]

<em>Because it is a rectangle, the area is expressed as A = xy, or length times width.</em>

<em>Because it is a rectangle, the area is expressed as A = xy, or length times width.Because it is next to the river, he only needs to fence three sides, so F = x + 2y.</em>

<em>Because it is a rectangle, the area is expressed as A = xy, or length times width.Because it is next to the river, he only needs to fence three sides, so F = x + 2y.Knowing the amount of fencing available is 7500m, we get:</em>

<em>Because it is a rectangle, the area is expressed as A = xy, or length times width.Because it is next to the river, he only needs to fence three sides, so F = x + 2y.Knowing the amount of fencing available is 7500m, we get: </em>

<em>Because it is a rectangle, the area is expressed as A = xy, or length times width.Because it is next to the river, he only needs to fence three sides, so F = x + 2y.Knowing the amount of fencing available is 7500m, we get: 7500 = x + 2y solve for x</em>

<em>Because it is a rectangle, the area is expressed as A = xy, or length times width.Because it is next to the river, he only needs to fence three sides, so F = x + 2y.Knowing the amount of fencing available is 7500m, we get: 7500 = x + 2y solve for xx = 7500 - 2y substitute into the area equation</em>

<em>Because it is a rectangle, the area is expressed as A = xy, or length times width.Because it is next to the river, he only needs to fence three sides, so F = x + 2y.Knowing the amount of fencing available is 7500m, we get: 7500 = x + 2y solve for xx = 7500 - 2y substitute into the area equationA = (7500 - 2y)y distribute</em>

<em>Because it is a rectangle, the area is expressed as A = xy, or length times width.Because it is next to the river, he only needs to fence three sides, so F = x + 2y.Knowing the amount of fencing available is 7500m, we get: 7500 = x + 2y solve for xx = 7500 - 2y substitute into the area equationA = (7500 - 2y)y distributeA = -2y2 +7500y</em>

<em>Because it is a rectangle, the area is expressed as A = xy, or length times width.Because it is next to the river, he only needs to fence three sides, so F = x + 2y.Knowing the amount of fencing available is 7500m, we get: 7500 = x + 2y solve for xx = 7500 - 2y substitute into the area equationA = (7500 - 2y)y distributeA = -2y2 +7500y </em>

<em>Because it is a rectangle, the area is expressed as A = xy, or length times width.Because it is next to the river, he only needs to fence three sides, so F = x + 2y.Knowing the amount of fencing available is 7500m, we get: 7500 = x + 2y solve for xx = 7500 - 2y substitute into the area equationA = (7500 - 2y)y distributeA = -2y2 +7500y You can see that this is a parabola which opens down, meaning that the point of maximum area will be at the vertex, y = </em><em>- </em><em>b</em><em>/2a = -7500/[2(-2)] = 1875</em>

<em>/2a = -7500/[2(-2)] = 1875 </em>

<em>/2a = -7500/[2(-2)] = 1875 x = 7500 - 2(1875) = 3750</em>

<em>/2a = -7500/[2(-2)] = 1875 x = 7500 - 2(1875) = 3750 </em>

<em>/2a = -7500/[2(-2)] = 1875 x = 7500 - 2(1875) = 3750 A = 3750(1875) = 7,031,250 m2</em>

<em>/2a = -7500/[2(-2)] = 1875 x = 7500 - 2(1875) = 3750 A = 3750(1875) = 7,031,250 m2 </em>

5 0
2 years ago
Please solve and show step by step<br> Best answer get rewarded!
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6 0
3 years ago
Find the domain of the relation represented on the mapping diagram:
salantis [7]
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7 0
3 years ago
The college that Dora attends is selling tickets to the annual
Ksenya-84 [330]

Answer:

The solution of the system of equations is (11, 12)

Step-by-step explanation:

∵ The price of each student ticket is $x

∵ The price of each adult ticket is $y

∵ They sold 3 student tickets and 3 adult tickets for a total  of $69

∴ 3x + 3y = 69 ⇒ (1)

∵ they sold 5  student tickets and 3 adults tickets for a total of $91

∴ 5x + 3y = 91 ⇒ (2)

Let us solve the system of equations using the elimination method

→ Subtract equation (1) from equation (2)

∵ (5x - 3x) + (3y - 3y) = (91 - 69)

∴ 2x + 0 = 22

∴ 2x = 22

→ Divide both sides by 2 to find x

∵ \frac{2x}{2}=\frac{22}{2}

∴ x = 11

→ Substitute the value of x in equation (1) or (2) to find y

∵ 3(11) + 3y = 69

∴ 33 + 3y = 69

→ Subtract 33 from both sides

∵ 33 - 33 + 3y = 69 - 33

∴ 3y = 36

→ Divide both sides by 3

∵ \frac{3y}{3}=\frac{36}{3}

∴ y = 12

∴ The solution of the system of equations is (11, 12)

5 0
2 years ago
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