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Dafna11 [192]
3 years ago
13

Does anyone know this? Also, can you explain how you get the answer? cuz I have 10 other questions same as this.

Mathematics
1 answer:
Nezavi [6.7K]3 years ago
7 0
The answer is 36

Multiply each side by 9

9 times for and 9 times n/9

The n/9 will cancel out so you are left with n= 9 times 4

This comes to 36
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Identify the following sequences as arithmetic, geometric, or neither. For the arithmetic and geometric sequences, identify the
Lapatulllka [165]

Hence,

a. 12, 144, 1728,..  => Geometric

b. 0,5, 10, 15, 20, 25,...  => Arithmetic

c. 0,4, 16, 36, 64,...  => Neither arithmetic nor geometric

d. 1.5, 2.25, 3.375, 5.0625,... => Geometric

Step-by-step explanation:

In order to identify the sequence as geometric or arithmetic sequence, we find the common difference and common ratio of the sequence. If the common difference is same, it is an arithmetic sequence and if the common ratio is same the sequence is a geometric sequence

Common difference is the difference between consecutive terms of an arithmetic sequence and common ration is the ratio between two consecutive terms of a sequence

So,

<u>a. 12, 144, 1728,..</u>

Here,

a_1=12\\a_2=144\\a_2=1728

Common difference:

d=a_2-a_1 = 144-12 = 132\\=a_3-a_2 = 1728-144=1584

Common Ratio:

r=\frac{a_2}{a_1} =\frac{144}{12} = 12\\=\frac{a_3}{a_2}=\frac{1728}{144} =12

As the common ratio is same, the given sequence is a geometric sequence.

<u></u>

<u>b. 0,5, 10, 15, 20, 25,...</u>

Here,

a_1 = 0\\a_2 =5\\a_3 =10

Common difference:

d=a_2-a_1 = 5-0 = 5\\d=a_3-a_2 = 10-5 = 5

As the common difference is same, the given sequence is an arithmetic sequence

<u></u>

<u>c. 0,4, 16, 36, 64,...</u>

Here

a_1 = 0\\a_2 =4\\a_3 = 16\\a_4 = 36

Common Difference:

d= a_2-a_1 = 4-0 = 4\\a_3-a_2 = 16-4 = 12

<u></u>

Common Ratio:

r=\frac{a_2}{a_1} = \frac{4}{0} = Doesn't\ exist

Neither the common ratio nor common difference are same, so the given sequence is neither arithmetic nor geometric

<u>d. 1.5, 2.25, 3.375, 5.0625,...</u>

Here

a_1 = 1.5\\a_2 = 2.25\\a_3 = 3.375

<u></u>

Common Difference:

d=a_2-a_1 = 2.25-1.5 = 0.75\\a_3-a_2 =3.375-2.25 = 1.125[/tex]Common Ratio: [tex]r=\frac{a_2}{a_1} = \frac{2.25}{1.5}=1.5\\=\frac{a_3}{a_2} =\frac{3.375}{2.25}=1.5

As the common ratio is same, given sequence is geometric

Hence,

a. 12, 144, 1728,..  => Geometric

b. 0,5, 10, 15, 20, 25,...  => Arithmetic

c. 0,4, 16, 36, 64,...  => Neither arithmetic nor geometric

d. 1.5, 2.25, 3.375, 5.0625,... => Geometric

<u>Keywords: Sequence, Ratio</u>

<u>Learn more about sequences at:</u>

  • brainly.com/question/3783529
  • brainly.com/question/3799248

#LearnwithBrainly

4 0
3 years ago
A = lw<br> Whats the description of this formula
antiseptic1488 [7]
The area of a rectangle is its times its width where "A" represents the area, "L" represents the length and "W" represents the width
5 0
4 years ago
Graph the line with the equation y = -x - 6
AlladinOne [14]

here you go . i hope this helps

6 0
3 years ago
What is the difference?<br><br> 10.22 – 3.651
zysi [14]

Answer:

6.569

Step-by-step explanation:

Difference is subtraction.

10.22-3.651=6.569

7 0
3 years ago
Read 2 more answers
james wants to find out the favorite movie of students in his school. Which method would give James the BEST results? A)survey e
kolezko [41]

Answer:

D) Survey 100 randomly selected students from the school

Step-by-step explanation:

This gives an equal chance to everybody, so it's not biased and it is of everybody that goes to his school. A is only the people on the football team so its not students in his school. Walking to school has nothing to do with the survey topic and so thats also definitely not it. C again doesn't give a fair chance to everybody, so it would be possible to get an accurate, unbiased answer. D is definitely your answer!

I hope that helps!!

Have an awesome day! :)

8 0
3 years ago
Read 2 more answers
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