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3 years ago

Please help with math question

Mathematics

1 answer:

KIM [24]3 years ago

7 0

9514 1404 393

Answer:

Step-by-step explanation:

The Euler Gamma is a named irrational constant whose value is approximately ...

0.57721566490153286060651209008240243104215933593992...

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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

2(4 - 2r) = -2(r + 5)

Alexus [3.1K]

2(4 - 2r) = -2(r + 5)

First, divide both sides by -2. / Your problem should look like: $-4 + 2r = r + 5$
Second, regroup your terms. / Your problem should look like: $2r - 4 = r + 5$
Third, add 4 to both sides. / Your problem should look like: $2r = r + 5 + 4$
Fourth, add r + 5 + 4 to get r + 9. / Your problem should look like: $2r = r + 9$
Fifth, subtract r from both sides. / Your problem should look like: $2r - r = 9$
Sixth, subtract 2r - r to get r. / Your problem should look like: $r = 9$

Answer: r = 9

5 0

4 years ago

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Kevin Patel is a waiter at a local restaurant. He is paid $429 semimonthly. What is his annual salary?

LUCKY_DIMON [66]

We know that <span>Kevin Patel is a waiter at a local restaurant and he</span> gets paid $429 twice a month. You would make roughly $10,296 a year.

7 0

4 years ago

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The angle is to be reflected over the line shown. What would be the measure of the reflected angle?

WITCHER [35]

There is nothing here for anyone to work off, If you have a picture or screenshot that would be very nice!

4 0

3 years ago

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My question is what is. 6x +5–2x=-19

Lesechka [4]

Answer:

x=-6

Step-by-step explanation:

Our first step is to combine like terms. We can combine 6x and -2x

4x+5=-19

Now we have to move the variables to one side, and the numerical values to the other. We can do this by subtracting 5 from both sides. (What you do to one side, you must do to the other to keep the equation equal.)

4x=-24

Now we can divide both sides by 4.

x=-6

5 0

4 years ago