Q4) Identify which of the following are geometric sequences and which are
not
(i) 2, 6, 18, 54.....
(ii) 25,5, 1,
(iii) 1, 4, 9, 16

Answers

Answer 1

Answer:

(i) and (ii)

Step-by-step explanation:

For a sequence to be geometric then the ratio r between consecutive terms must be common.

(1)

2, 6, 18, 54

6 ÷ 2 = 3

18 ÷ 6 = 3

54 ÷ 18 = 3

Here there is a common ratio r = 3 , then sequence is geometric

(ii)

25, 5, 1

[tex]\frac{5}{25}[/tex] = [tex]\frac{1}{5}[/tex] and [tex]\frac{a_{3} }{a_{2} }[/tex] = [tex]\frac{1}{5}[/tex]

There is a common ratio r = [tex]\frac{1}{5}[/tex] , then sequence is geometric

(iii)

1, 4, 9, 16

4 ÷ 1 = 4

9 ÷ 4 = 2.25

16 ÷ 9 = 1.777..

There is no common ratio, then sequence is not geometric


Related Questions

What is the complete factorization of
8y3 – 4y2 + 10y?

Answers

2y(4y^2-2y+5) hope this helps

What is the likelihood that a point chosen inside the square will also be inside the circle ?It Chose one : A. is impossible ,B. it is unlikely, C it is likely D. it is certain

Answers

Answer:

C. It is likely

Step-by-step explanation:

Given

See attachment for diagram

For the square.

Let

[tex]Length = L[/tex]

So, the area is:

[tex]Area = Length^2[/tex]

[tex]A_1=L^2[/tex]

The side length of the square equals the diameter of the circle.

So:

[tex]diameter (d) = L[/tex]

The radius is:

[tex]r = \frac{1}{2}d[/tex]

[tex]r = \frac{1}{2}L[/tex]

The area is:

[tex]Area = \pi r^2[/tex]

[tex]A_2 = \pi * (\frac{1}{2}L)^2[/tex]

[tex]A_2 = \pi * \frac{1}{4}L^2[/tex]

[tex]A_2 = \frac{22}{7} * \frac{1}{4}L^2[/tex]

[tex]A_2 = \frac{22}{28} L^2[/tex]

The likelihood that a point will be common to the square and the circle is:

[tex]Pr = \frac{A_2}{A_1}[/tex]

[tex]Pr = \frac{\frac{22}{28} L^2}{L^2}[/tex]

[tex]Pr = \frac{22}{28}[/tex]

[tex]Pr = 78.57\%[/tex]

The above probability is greater than 50% but less than 100%.

Hence, it is likely

Answer:

C. Likely

Step-by-step explanation:

all the points are in the circle so it's likely to choose a point inside the circle

A rectangular hotel room is 5 meters by 7 meters. The owner of the hotel wants to recarpet the room with carpet that costs $43.00 per square meter. How much will it cost to recarpet the room?

Answers

Answer:

$1505

Step-by-step explanation:

area = 5 x 7 = 35 m²

35 m² x $43 per m² = $1505

i need help with the last two. I forgot the formula and wondering if you will help me find which one is and isnt a triangle

Answers

Answer:

3. D) 26, 7, 31

4. B) 6, 34, 27

Step-by-step explanation:

Both #3 and #4 use the same strategy: the two shorter sides' sum has to be greater than the longer side.

#3:

2 + 8 is 10, which is less than 13. So A wouldn't form a triangle.

12 + 22 is 34, which is the length of the longer side. So B wouldn't form a triangle either.

14 + 18 is 32, which is less than 40. So C wouldn't form a triangle.

7 + 26 is 33, which is greater than 31. So D would form a triangle.

D. 26, 7, and 31 are the only lengths of the ones shown that form a triangle.

#4:

17 + 18 is 35, which is greater than 19. So A would form a triangle.

11 + 22 is 33, which is greater than 25. So C would also form a triangle.

5 + 18 is 23, which is greater than 20. So D would form a triangle.

6 + 27 is 33, which is less than 34. So B wouldn't form a triangle.

B. 6, 34, and 27 are the only lengths of the ones shown that don't form a triangle.

Can u help me guys this is hard

Answers

25% as a fraction is 1/4 and as a decimal it’s 0.25
1/2 as a percentage is 25% and as a decimal it’s 0.25
6.66% as a fraction is 333/50 and as a percentage it’s 666%

Simplify the following expression. 3x ^ 4 + 2x ^ 3 - 5x ^ 2 + 4x ^ 2 + 6x - 2x - 3x ^ 4 + 7x ^ 5 - 3x ^ 3

Answers

Answer:

[tex]7x ^ 5 - x ^ 3- x ^ 2 + 4x[/tex]

Step-by-step explanation:

1) [tex]3x ^ 4 + 2x ^ 3 - 5x ^ 2 + 4x ^ 2 + 6x - 2x - 3x ^ 4 + 7x ^ 5 - 3x ^ 3[/tex]

Rearrange the expression.

2) [tex]7x ^ 5+3x ^ 4- 3x ^ 4 + 2x ^ 3 - 3x ^ 3- 5x ^ 2 + 4x ^ 2 + 6x - 2x[/tex]

Solve.

3) [tex]7x ^ 5 - x ^ 3- x ^ 2 + 4x[/tex]

i neex help on a equation ​

Answers

Answer:

-24a^10

Step-by-step explanation:

Given the equation −4a^5⋅6a^5

This can also be written as

−4a5⋅6a^5

= (-4*6)(a^5*a^5)

= -24(a^{5+5})

= -24a^10

Hence the required expression is -24a^10

11. Oliver had $10. On his birthday, he received $25. Use the equation below to find how much money Oliver has now. equation: 10 + 25 = m *

Answers

Answer: 35

Step-by-step explanation:

which problem could be solved by evaluating the expression 7 x (-3)?​

Answers

Answer:

C: A cold front comes in and causes the temperature to drop 3 degrees every hour. What is the change in temperature after 7 hours?

Write 0,000000357 the following in scientific notation.​

Answers

Answer:

Step-by-step explanation:

3.57 x 10 ^ - 7 is the correct answer

i need help with trigonometric pleasee

Answers

Answer:

Step-by-step explanation:

Cos(61) = 0.4848

This is more or less the value of cos(60) which is 1/2

You know you are in trouble when a question says approximately. How approximate is approximately. My guess, and it is a guess, is that this means the nearest degree. That would be 14 degrees. The more exact answer is 13.80 and that zero matters. It is a place holder.

Sin(67) = 0.9205 Again, how approximate is approximate? Try 0.92 as your answer.

Tan (18) = 0.3249 Try tan(18) = 0.3

Maya makes trail mix by combining 1/2 cup of mixed nuts, 1/4 cup of dried fruit, and 1/8 cup of chocolate morsels. What is the total amount of ingredients in her trail mix? Explain how you solved the problem.

Answers

Answer:

7/8 ingridents

Step-by-step explanation:

If you're working with improper fractions where the numerators are larger than the denominators, make the denominators the same. Then add the numerators. If you're adding mixed numbers, turn them into improper fractions and make each fraction equivalent. This will make it easy to add the fractions together.

Mark me brainliest!

Answer:

Step-by-step explanation:

1/8x1/4x1/2=1/64

Which expression is equivalent to (q? – 16)?
M. (q - 4)2
P. (9 + 4)(9-4)
R. (q + 8)(9 - 2)
S. (9-8)(9 + 2)

Answers

Answer:

nothing

Step-by-step explanation:

because the given is error

Can someone please help me answer this question asap thank you .

Answers

you do this 8 x 6 x 14 x 4 = 672

Mary is designing a square garden in her field to grow vegetables. The minimum size for a garden is 2 meters on each side. She decides it would be best to have each side be 2 meters long plus an additional x amount of meters.
a. What expression can represent the area of the garden?
b. Mary’s five additional friends also want to make this garden with the same dimen

Answers

A) I hope this helps!!!! Let me know if I’m wrong

In the cafeteria, a principal asked students what fraction of their plates contained vegetables. The line plot displays the students' responses. How many more plates of vegetables did the students who responded of a plate have than the students who responded of a plate? (look at picture)

Answers

Answer:

It should be A 3 1/4

Step-by-step explanation:

please help! i'll give brainliest! no one would help me PLEASE.

Answers

Answer:

m∠ABC = 42°

Step-by-step explanation:

5x + 13 + 3x + 33 = 70

8x + 46 = 70

8x = 24

x = 3

m∠ABC = 3(3) + 33 = 42

Use the rule y = 6x to fill in the table with the missing number.

X 3 5 8 6 4
Y 18 30 48 36 __

Answers

Burn big bro that’s how we hit the stage the answer is 9A

help m.e please please

Answers

Answer:

(-4,-1)

Step-by-step explanation:

Answer:

(-4,-1)

Step-by-step Explanation: It is because the arrows stop at -4 and -1

15.
Which number is a solution of the inequality?

x(7 – x) > 8

A. 0

B. 2

C. –1

D. 8

Answers

The correct answer would be B. 2! :)
(Could I have brainliest, please?)

Answer:

B

Step-by-step explanation:

2(7-2) > 8

2(5) > 8

10 > 8  true

NEED HELP/WILL MAKE BRAINLY
Jorge needs to paint the circular tops of five identical tables. Each table has a circumference of about 12.6 feet. He has a 1-pint can of paint, which will cover about 70 square feet of surface area.

Which statement is true for this situation?

Group of answer choices

He will have enough paint to put two coats of paint on all of the tables.

He will have enough paint to put one coat of paint on only four of the tables.

He will have enough paint to put one coat of paint on all of the tables.

He will have enough paint to put one coat of paint on only three of the tables.

Answers

Answer: He will have enough paint to put one coat of paint on all of the tables.

The graph shown is a summary of the number of items sold by two classes for a school fundraiser.

The teachers in each class compared their results side by side and determined that class 1 had more variability than Class 2. Which of the following statements BEST describes the conclusion of the teachers?

A. It is not true because the median for each class is the same

B. It is not true because the maximum is the same for each class

C. It is true because the range of Class 1 is greater than the range of Class 2

D. It is true because the minimum for Class 1 is less than the minimum of Class 2

Answers

Answer:

c.

Step-by-step explanation:

since the range is bigger, it gives more variability when it comes to data plots

Someone help?
Wanda feeds her 3 dogs 1/4 of a can of food per meal. She feeds each of her dogs twice a day. If Wanda has 12 cans of food, is it true that she can feed her dogs for at most 6 days?

Answers

Answer:

yep, 1.5 x 6 =9. 12-9 = 3 can leftover

What's the answer to this?

Answers

Answer:

1.5

Step-by-step explanation:

-1.5 + 1.5 will get you to 0

-1.5 + (-1.5) will get you -3. The other options are out of the question

Explain the different types of motion of a sewing machine​

Answers

Answer:

linear.

rotary.

reciprocating.

oscillating.

hope it wil help you

solve for t
-18 = -3t
t = (_)

Answers

Answer:

3×6=18 t= (6)

I hope this helps by using division

Answer:

t = 6

Step-by-step explanation:

you want (t) by itself so you would divide both sides by -3. A negative divided by a negative is a positive. same goes for multiplying two negative numbers. The answer would be positive

if the line M is perpendicular to the line end, and the slope of line M is -3 / 2, what is the slope of line and? Write the slope in simplest form

(easy question, easy points)​

Answers

Answer:

2/3

Step-by-step explanation:

All you do is find the reciprocal,

you take the equation, flip, then change the sign of the numerator. so,

In this it's already done, the sign on top is already changed and so is the equation fliped so we do the opposite,

which would give you 2/3 because the perpendicular line of 2/3 is -3/2 which makes them perpendicular to each other and there is your answer.

22 and 21 please help no links or i report

Answers

Answer:

21) B. (5,45)

22) B. As the temperature decreases, hot chocolate sales increase.

find the missing side lengths of the triangle 20 units 21 units​

Answers

Answer:

29

Step-by-step explanation:

In a triangle, a^2 + b^2 = c^2 where a and b are the legs and c is the hypotenuse

Given this formula, we knoe c^2 is the product of 21^2 + 20^2.

This gives you 841. Now you just find the square root of 841 which is 29.

Hope this helps :)

what is the value of this questiom ?

Answers

The answer to that question is 3
the answer is 3 because you have to plug in 1 in the equation for x
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