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3 years ago

What is the common ratio in the sequence 6 12 24 48 96 A-2 B2 C6 D1/2

Mathematics

2 answers:

lora16 [44]3 years ago

6 0

2, 12, 24, 48, 96

It's a geometric sequence.

The common ratio is equal

r = 12 : 6 = 24 : 12 = 48 : 24 = 96 : 48 = 2

<h3>Answer: B. 2</h3>

Katena32 [7]3 years ago

3 0

Answer is B2 common ratio

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One year, a farmer harvested 50,000 bushels of wheat on her family farm.

Zanzabum

The answer is C, hope this helps

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3 years ago

What is the value of y in the sequence below? 2,y,18, -54,162,

snow_lady [41]

First, let's check if the sequence is geometric or arithmetric.

If arithmetric, the sequence will have common difference.

Arithmetric

$\displaystyle \large{a_{n + 1} - a_n = d}$

d stands for a common difference. Common Difference means that sequences must have same difference after subtracting.

Geometric

$\displaystyle \large{ \frac{a_{n + 1}}{a_n} = r}$

r stands for a common ratio.

To find the value of y, you can check the sequence. If we try subtracting the sequences, the differences are different. That means the sequences are not arithmetric. That only leaves the geometric sequence.

Let's check by dividing sequences.

We have:

2,y,18,-54,162,...

Let's check by divide -54 by 18 and 162 by -54. We need to divide more than one so we can prove that the sequence is geometric.

$\displaystyle \large{ \frac{ - 54}{18} = - 3 } \\ \displaystyle \large{ \frac{ 162}{ - 54} = - 3}$

Hence, the sequence is geometric.

Because the common ratio is -3. Let these be the following:

$\displaystyle \large{ a_{n + 1} = y } \\ \displaystyle \large{ a_n = 2 } \\ \displaystyle \large{ r = - 3 }$

From the:

$\displaystyle \large{ \frac{a_{n + 1}}{a_n} = r}$

Substitute the values in.

$\displaystyle \large{ \frac{y}{2} = - 3}$

Multiply the whole equation by 2 to isolate y.

$\displaystyle \large{ \frac{y}{2} \times 2 = - 3 \times 2} \\ \displaystyle \large{ y = - 6}$

Therefore, the value of y is -6.

7 0

2 years ago

What is the speed that a car reaches in m/s, if it travels 956km in 56sec?Help me!! MRU (Uniform Rectilinear Movement)

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Answer:

17.07m/s

Step-by-step explanation:

v=d/t

d=956km

t=56sec

v=956/56

v=17.07m/s

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3 years ago

A museum has a 1/2 ounce piece of a precious metal. When the museum first received the piece, it had a value of $90. Its value h

Alex777 [14]

The current value of the precious metal is $144/oz

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- Since the original value of the half ounce piece is given, this first step is fairly simple. You just double ninety.

- We now know that the metal was worth $180/oz when the museum first received it.

- We need to determine the current price of the metal now that is has had a twenty percent loss of value.

- My favorite way to factor in 20% is simply to divide by five since it's a lot more simple than finding the ratio of x$/1%

- $180/5=$36

- Thirty-six dollars is the price drop over the course of the museum possessing the precious metal.

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Answer:

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2 years ago