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3 years ago

Please help will mark brainly

Mathematics

1 answer:

trasher [3.6K]3 years ago

5 0

Minimum:50

Maximum:72

Q1:56.5

Q2:63

Q3:68.5

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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

Select the correct answer.

Tpy6a [65]

Answer:

your answer is D.

Step-by-step explanation:

Using sine will give you 3*square root of 3

3 0

3 years ago

Read 2 more answers

Some animals on farms eat hay to get energy. A horse can eat twenty pounds of hay each day. Write and evaluate an expression to

dangina [55]

Answer:

Step-by-step explanation:

20pounds/day * 14days * 20horses

7 0

3 years ago

Find the perimeter of the polygon with the vertices g(2, 4), h(2,−3), j(−2,−3), g(2, 4), h(2,−3), j(−2,−3), and k(−2, 4)k(−2, 4)

Julli [10]

The distance between g and h is sqrt[(2-2)^2+(4+3)^2]=7 The distance between h and j is sqrt[(2+2)^2+(-3+3)^2]=4 The distance between j and k is sqrt[(-2+2)^2+(-3-4)^2]=7 The distance between k and g is sqrt[(-2-2)^2+(4-4)^2]=4 The perimeter of the polygon is 7+4+7+4=22

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3 years ago

What are the domain and range of the function

andrew11 [14]

Answer: The answer should be the 2nd one

Step-by-step explanation:

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2 years ago