Mathematics, 22.07.2019 08:30 heavenmckissack21

Which of the following is an arithmetic sequence? a. 1, 2, 4, 8, … b. 2, 4, 6, 8, … c. 1, 2, 4, 7, … d. 1, –3, 2, –6, … asap

Answers: 2

Show answers

Answers

Answer from: pronces

Thearithmetic sequence is $\boxed{{\mathbf{2,4,6,8, \ldots }}}$ and it matches with $\boxed{{\mathbf{OPTION B}}}$ .

Further explanation:

It is given that the four options are as follows:

$\begin{aligned}{\text{OPTION A}} \to 1,2,4,8,\ldots\hfill\\{\text{OPTION B}}\to 2,4,6,8, \ldots\hfill\\{\text{OPTION C}} \to 1,2,4,7,\ldots\hfill\\{\text{OPTION D}} \to 1, - 3,2, - 6, \ldots\hfill\\\end{aligned}$

Now, for OPTION A, the sequence is $1,2,4,8,\ldots$ .

Here, the first term ${a_1}$ is , the second term ${a_2}$ is and third term ${a_3}$ is .

The common difference is the difference of the successive term and its preceding term.

Now, check whether the common difference is same or not. If same, then the given sequence is AP else not.

$\begin{aligned}{a_2} - {a_1} &= {a_3} - {a_2} \hfill\\\,\,\,\,\,2 - 1\mathop & _=^? \:4 - 2 \hfill \\\,\,\,\,\,\,\,\,\,\,\,\,\,1 \ne2\hfill\\\end{aligned}$

Therefore, common difference is not same so it is not an arithmetic sequence so it does not matches with OPTION A.

Now, for OPTION B, the sequence is $2,4,6,8,\ldots$ .

Here, the first term ${a_1}$ is , the second term ${a_2}$ is and third term ${a_3}$ is .

Now, check whether the common difference is same or not. If same, then the given sequence is AP else not.

$\begin{aligned}{a_2} - {a_1} = {a_3} - {a_2}\hfill\\\,\,\,\,\,6 - 4\mathop =\limits^? 4 - 2\hfill\\\,\,\,\,\,\,\,\,\,\,\,\,\,2=2\hfill\\\end{aligned}$

Therefore, common difference is same so it is an arithmetic sequence so it matches with OPTION B.

Now, for OPTION C, the sequence is $1,2,4,7,\ldots$ .

Here, the first term ${a_1}$ is , the second term ${a_2}$ is and third term ${a_3}$ is .

Now, check whether the common difference is same or not. If same, then the given sequence is AP else not.

$\begin{aligned}{a_2} - {a_1} = {a_3} - {a_2} \hfill\\\,\,\,\,\,4 - 2\mathop=\limits^? 2 - 1\hfill\\\,\,\,\,\,\,\,\,\,\,\,\,\,2 \ne1\hfill\\\end{aligned}$

Therefore, common difference is not same so it is not an arithmetic sequence so it does not matches with OPTION C.

Now, for OPTION D, the sequence is $1, - 3,2, - 6,\ldots$ .

Here, the first term ${a_1}$ is , the second term ${a_2}$ is and third term ${a_3}$ is .

Now, check whether the common difference is same or not. If same, then the given sequence is AP else not.

$\begin{aligned}{a_2} - {a_1} = {a_3} - {a_2} \hfill\\\,\,\, - 3 - 1\mathop = \limits^? 2 + 3\hfill\\\,\,\,\,\,\,\,\,\, - 4\ne5\hfill\\\end{aligned}$

Therefore, common difference is not same so it is not an arithmetic sequence so it does not matches with OPTION D.

Thus, the arithmetic sequence is $\boxed{{\mathbf{2,4,6,8, \ldots }}}$ and it matches with $\boxed{{\mathbf{OPTION B}}}$ .

Learn more:

1. Which classification best describes the following system of equations?

2. What is the value of in the equation when ?

3. What are the values of

Answer Details:

Grade: Junior High School

Subject: Mathematics

Chapter: Arithmetic Progression

Keywords: Common difference, linear equation, arithmetic sequence, variables, mathematics,equation of line, matches,Arithmetic Progression

Answer from: Quest

2160ft3

step-by-step explanation:

Answer from: Quest

1/2*qr*rs

step-by-step explanation:

Another question on Mathematics

Mathematics, 21.06.2019 18:40

20 points for the brainliest? drag each tile to the correct box. not all tiles will be used. arrange the steps to solve the equation . plz

Answers: 2

Answer

Mathematics, 21.06.2019 22:30

Olga bought a new skirt that cost $20. sales tax is 5%. how much did olga pay, including sales tax? 7.

Answers: 2

Answer

Mathematics, 21.06.2019 22:50

Jim had 15 minutes to do 5 laps around his school what would his time be

Answers: 1

Answer

Mathematics, 22.06.2019 02:00

Multiply sixth of sixty six by a half of ten show step by step method

Answers: 1

Answer

You know the right answer?

Which of the following is an arithmetic sequence? a. 1, 2, 4, 8, … b. 2, 4, 6, 8, … c. 1, 2, 4, 7,...

Questions

Physics, 03.04.2020 01:20

1. An object is moving to the right while a force directed to the left acts on the object. Is this force doing positive work on the object (addi...

Business, 03.04.2020 01:20

Market value ratios give management an indication of what investors think of the company's -Select-liquidityriskassetsItem 1 and future prospects. The...

Chemistry, 03.04.2020 01:20

ALP + H2SO4is this for chemistry...

History, 03.04.2020 01:20

This is the first year Janis is playing softball. She has been practicing her batting. On her last swing the bat made an arc with a radius of 48 inche...

Mathematics, 03.04.2020 01:20

Maxine wants a necklace 35 beads long how many blue and black beads does she need...

Social Studies, 03.04.2020 01:20

The Enforcement Acts of 1870 and 1871 Group of answer choices A) defined crimes that deprived citizens of their civil and political rights as f...

English, 03.04.2020 01:20

Please help me how to solve it?Situation: On holidayYou and a friend want to go on a holiday trip together.You would like to spend t...

Mathematics, 03.04.2020 01:20

What is the point slope form of (7,-4) and (-1,3)...

Geography, 03.04.2020 01:20

Which of the following climate regions in not found on the map above? A. Mediterranean B. tropical wet and dry C. marine west coast D. humid continent...

English, 03.04.2020 01:20

Which of the following is considered an on-the-page question? A. How Many StepSisters Did Cinderella Have? B. Why Do I Think C...

History, 03.04.2020 01:20

Describe the events of Jospeh Stalin’s climb to power prior to him becoming dictator?...

Social Studies, 03.04.2020 01:20

What role did steam power have in the colonization of Africa by the Europeans...

Biology, 03.04.2020 01:20

Question 7x Review 0 The diagram shows a plant cell with several structures numbered. Pont Cell Identify the two cell st...

Chemistry, 03.04.2020 01:20

Imagine that you have a partially inflated tire. If you add approximately two pumps more air into i from your tire pump, what do you expec...

Mathematics, 03.04.2020 01:20

Which terms could be used as the first term of the expression below to create a polynomial with a degree of 5 written in standard form? Check all that...

Mathematics, 03.04.2020 01:20

Evaluate the function f(x) = 2x3 - 6x + 1 for f(-2)....

Mathematics, 03.04.2020 01:20

What is the slope of the slanted line in this illustration?

History, 03.04.2020 01:20

In 25 words tell me what the effects of the U. S mexican war for the united states...

History, 03.04.2020 01:20

Does the Louisiana Purchase make us better off than we were before we bought it? Justify your claim....

Mathematics, 03.04.2020 01:20

Find the area of a circle with a radius of 2. Either enter an exact answer in terms of pi or use 3.14 for pi and enter your answer as a decimal...

More questions: Mathematics Another questions