Is the sequence geometric? If so, identify the common ratio. 6, 12, 24, 48,

Answers

Answer 1

Answer:

Answer: Yes, the given sequence is geometric with common ration 2.

Step-by-step explanation: The given sequence is:

6, 12, 24, 48, . . ..

We are to check whether the above sequence is geometric or not. If it is geometric, we are to find the common ratio.

Geometric sequence - a sequence of numbers where each term is found by multiplying by a constant to the preceding term. This constant is called the common ratio, r.

The consecutive terms of the given sequence can be written as:

$a_1=6,\n\na_2=12,\n\na_3=24,\n\na_4=48,\n\netc.$

We can see that

$(12)/(6)=(24)/(12)=(48)/(24)=~.~.~.~=2,\n\n\Rightarrow (a_2)/(a_1)=(a_3)/(a_2)=(a_4)/(a_3)=~.~.~.~=2,\n\n\Rightarrow a_2=2* a_1,~~a_3=2* a_2,~~a_4=2* a_3,~.~.~.etc.$

Therefore, each term is formed by multiplying 2 to the preceding term.

Thus, the given sequence is a geometric sequence with common ratio 2.

Answer 2

Answer: Yes
common ratio= r2/r1 or r3/r2 or r4/r3 if it is all the same then it is a geometric sequence, so the common ratio is 2 because 12/6=2, 24/12=2 and 48/24=2

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Let a=x^2+4. Use a to find the solutions for the following equation: (x^2+4)^2+32=12x^2+48. Which one of the following are solutions for x? Select any/all that apply. -8, -2, 4, 0, 2, -4, 8

The perimeter of a rectangle is 34 units. Its width is 6.5 units. What is its length?

Answers

If the width is 6.5 then double that to work out the two widths which would be 13. Take that from the perimeter so you're left with 21. Half 21 to work out one length which is 10.5. Length = 10.5

A-7x2 for a -15
Evaluate this expression.
Grade 8

Answers

To evaluate the expression A-7x2 for a -15, we need to substitute -15 for a and then simplify the expression.

A-7x2 = A-7(x^2)

Substituting -15 for a, we get:

-15 - 7(x^2)

Therefore, the value of the expression A-7x2 for a -15 is -7(x^2) - 15 12.

Hope this helped :)

Which of these is an example of using financial reserves for a occasional expense? a. You know that your car will need a tune-up and other routine maintenance every winter, so you save a little money every month in preparation and use the saved money to pay when winter comes around. b. You are hit with a summer heat wave and your utility bill spikes, so you use your credit card to pay the bill and pay off the balance over the next few months. c. You graduate college and need to start paying back your student loans, so you devote some of your income every month to paying down the debt. d. You are never quite sure how much money you spend on food every month, and every so often you need to pull a tiny bit from your retirement fund to pay for groceries.

Answers

The correct answer is:

A) You know that your car will need a tune-up and other routine maintenance every winter, so you save a little money every month in preparation and use the saved money to pay when winter comes around.

Explanation:

An occasional expense is one that does not happen every month. Winter maintenance would count as occasional. Saving a little money each month to make sure you have enough to perform winter maintenance is using financial reserves for occasional expenses.

Which two solid figures have the same volume?O A. An oblique solid with a base of 4 cm2 and a slant height of 8 cm
B. A cone with a base of 4 cm2 and a height of 8 cm
C. An oblique prism with a base of 4 cm2 and a height of 8 cm
D. A rectangular solid with a base of 4 cm2 and a height of 8 cm

Answers

Answer:

A & D have the same volume :):):)

Pls help you would be a life saverYou can write the answer as:

1.(first second or third)
2.( first second or third)
3.(first second or third)

Answers

Step-by-step explanation:

1.(first second or third)

I ONLY NEED HELP WITH PART BAn equation is shown below:

5x + 3(x – 5) = 6x + 2x – 15

Part A: Solve the equation and write the number of solutions. Show all the steps. (6 points)

Part B: Name one property you used to solve this equation. (4 points)

Answers

Hi there

5x+3(x-5)=6x+2x-15

Simplify both sides of the equation

5x+3(x-5)=6x+2x-15

Distribute

5x+3x-15=6x+2x-15

Combine like terms

(5x+3x)-15= (6x+2x)-15

8x-15=8x-15

Subtract 8x from both sides

8x-15-8x=8x-15-8x

-15=-15

Add 15 to both sides

-15+15=-15+15

0=0

All real numbers are solutions

To solve this equation I used " The distributive property"

I hope that's help !

Good night !

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