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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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Answer:

45 premium tickets were sold

Step-by-step explanation:

p = premium

d = deluxe

r = regular

p+d+r = 273

6p+4d + 2r = 836

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Replace r with 118+d

p+d+118+d = 273

p +2d = 273-118

p+2d = 155

6p+4d + 2(118+d) = 836

6p+4d + 236+2d = 836

6p +6d = 836-236

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Divide by 6

p+d = 100

d = 100-p

Replace d in p +2d= 155

p +2(100-p) = 155

p+200-2p = 155

-p = 155-200

-p =-45

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45 premium tickets were sold

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3 years ago
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What is the height of the prism if there is 30 square centimeters and the volume is 90 cubic centimeters
sammy [17]

Answer:

the height of the prism =3cm

Step-by-step explanation:

From the question :there is 30 square centimeters, we can deduce this is the area due to the unit

the volume is 90 cubic centimeters

Volume of prism = Area of base × height

We are to determine the height

90cm³ = 30cm² × height

divide both sides by 30cm²

height = 90cm³/30cm²

height = 3cm

Therefore the height of the prism is 3centimeters

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(Urgent) Worth 10 points 7.3
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Step-by-step explanation:

A straight line adds up to 180°

m+3m=180°

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Step-by-step explanation:

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