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3 years ago

Idkkkkkkkkkkkkkkkkkkk help

Mathematics

1 answer:

neonofarm [45]3 years ago

3 0

Answer:

Look at the pics above

Step-by-step explanation:

I'm not sure about the ninth one....

but yeah, here you go !

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Which sequences are geometric sequences? Check all that apply. 4, 2, 1, One-half,One-fourth,... −2, 3, −4, 5, −6, … 2, 6, 18, 54

hjlf

Answer:

(1)We get that all terms have same $(r)$ then It is a Geometric Sequence.

(2)We get Common ratio of given sequence is not same. It is not an geometric sequence.

(3)We get the common ratio is same then it is a Geometric Sequence

(4)We get the common ratio is same then it is a Geometric Sequence.

(5)We get Common ratio of given sequence is not same. It is not an geometric sequence.

Step-by-step explanation:

Here, The Geometric Progression in the form:

$G.P: a, ar, ar^{2}, ar^{3}, ar^{4}, ar^{5}........................................., ar^{n-1}, ar^{n}.$

Where $a - First\ term\\r - Common \ ratio\\n - Number\ of\ terms\ of\ an\ progression$

So, Check all that apply.

(1) $4,2,1,\frac{1}{2},\frac{1}{4}$

For the geometric Sequence Common ratio $(r)$ must be same.

⇒ $r= \frac{ar^{n} }{ar^{n-1} }$

Then, Finding $(r)$ for given sequence

$r=\frac{a_{2} }{a_{1} } =\frac{a_{3} }{a_{2} } =\frac{a_{4} }{a_{3} }............................\frac{ar^{n} }{ar^{n-1} } .$

∴ $r= \frac{2}{4}=\frac{1}{2}=\frac{\frac{1}{2} }{1} =\frac{\frac{1}{4} }{\frac{1}{2} }$

⇒ $r= \frac{1}{2}=\frac{1}{2}=\frac{1}{2} } = \frac{1}{2} }$

Clearly,

We get that all terms have same $(r)$ then It is a Geometric Sequence.

(2) $-2, 3,-4,5,-6.........$

Same as above we will check the common ratio

⇒ $r=\frac{3}{-2} =\frac{-4}{3} =\frac{5}{-4}=\frac{-6}{5}$

⇒ $r=\frac{3}{-2} \neq \frac{-4}{3} \neq \frac{5}{-4}\neq \frac{-6}{5}$

Clearly,

We get Common ratio of given sequence is not same. It is not an geometric sequence.

(3) $2,6,18,54,162.................$

Now checking common Ratio $(r)$

⇒ $r=\frac{6}{2} =\frac{18}{6} =\frac{54}{18}=\frac{162}{54}$

⇒ $r=3=3=3=3$

Therefore,

We get the common ratio is same then it is a Geometric Sequence.

(4) $-4,-16,-64,-256.........$

Now checking common Ratio $(r)$

⇒ $r=\frac{-16}{-4} =\frac{-64}{-16} =\frac{-256}{-64}$

⇒ $r=4=4=4$

Therefore,

We get the common ratio is same then it is a Geometric Sequence.

(5) $-2,-4,-12,-48,-240............................$

Now checking common Ratio $(r)$

⇒ $r=\frac{-4}{-2} =\frac{-12}{-4} =\frac{-48}{-12}=\frac{-240}{-48}$

⇒ $r= 2\neq 3\neq 4\neq 5$

Clearly,

We get Common ratio of given sequence is not same. It is not an geometric sequence.

8 0

3 years ago

Read 2 more answers

What is the volume of the right rectangular prism? Enter your answer in the box.

Nutka1998 [239]

Answer:

1000 cm²

Step-by-step explanation:

Given:

Length = 10 cm
Width = 12.5 cm
Height = 8 cm

<u>Formula:</u>

$\text{Volume = Length} \times \text{Width} \times \text{Height}$

Substitute the length, width, and the height of the prism to determine the volume of the prism.

$\implies \text{Volume = 10} \times 12.5 \times 8$

Simplify the right hand side of the equation, as needed;

$\implies \text{Volume = 10} \times 12.5 \times 8$

$\implies \text{Volume =}\ 125 \times 8$

$\implies \boxed{\text{Volume =}\ 1000 \ \text{cm}^{2} }$

Therefore, the volume of the prism is 1000 cm².

7 0

2 years ago

Spaghetti sauce comes in large and small cylindrical cans. The larger can has a radius and height that are both three times long

Alik [6]

Let S and L be the volumes of the smaller and larger cans respectively...

The volume of a cylinder is: V=hπr^2 so

S=hπr^2 and we are told that the larger can's dimensions are 3h and 3r respectively so:

L=(3h)π(3r)^2

L=3hπ(9r^2)

L=27hπr^2

Then S/L is:

S/L=(hπr^2)/(27hπr^2)

S/L=1/27 so we can say that:

L=27S, we are told that the volume of the smaller can is 35.28 in^3 so

L=27(35.28) in^3

L=952.56 in^3

5 0

3 years ago

Read 2 more answers

What is the solution to the system of equations graphed below?

Marina CMI [18]

the answer is a. 1,-2

7 0

3 years ago

Teddy was asked to round a number to the nearest hundred. He correctly wrote 27,400.

stepan [7]

C. 27,384 is the answer.

A. 26,413 rounds to 26,400
B. 27,345 rounds to 27,300
D. 27,499 rounds to 27,500

4 0

3 years ago

Read 2 more answers