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2 years ago

Kilometers Walked for Charity

Mathematics

1 answer:

masha68 [24]2 years ago

3 0

Answer:what’s the lowest value?

what’s the highest value?

there is your range

Step-by-step explanation:

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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,

a. 12, 144, 1728,..

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.

b. 0,5, 10, 15, 20, 25,...

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

c. 0,4, 16, 36, 64,...

Here

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

Common Difference:

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

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

d. 1.5, 2.25, 3.375, 5.0625,...

Here

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

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

Keywords: Sequence, Ratio

Learn more about sequences at:

#LearnwithBrainly

4 0

3 years ago

1. Which of the following is NOT true about an isosceles trapezoid?

viktelen [127]

On an isosceles trapezoid, the two sides that are not parallel to each other will be exactly the same length. If this is true, than it would be create a symetric trapezoid. The diagonals would be the same length. The bases of any trapezoid are parallel, so this is true. The diagonals cannot possibly be perpendicular because the 2 nonparallel sides would be slanted. So, the answer is the 3rd choice.

5 0

3 years ago

A teacher has two students, one two times as old as the other. The teacher is five times as old as the older student, and in 5 y

kramer

Let's call the younger student's age A and the older student's age B. The teacher's age will be T.

B = 2A
T = 5B
T+5 = 5(A+5)

Simplify the last equation.

T+5 = 5A+25
T = 5A+20

Now we have two equations solved for T, so we can set them equal to each other.

5B = 5A + 20

We can plug 2A in for B

5(2A) = 5A + 20

10A = 5A + 20

5A = 20

A = 4

To find T, we plug 4 in for A in T = 5A + 20

T = 5(4) + 20

T = 40

The answer is 40 years old.

6 0

3 years ago

Read 2 more answers

Which is the graph of y=3/4x-3? Graph C Graph B Graph A

Alika [10]

I believe it’s graph c :)

3 0

3 years ago

Read 2 more answers

What is the 5 times the sum of 7 and 23

sesenic [268]

PEMDAS
5(7+23)
5(30)
150
Hope this helped :)

7 0

3 years ago