Mathematics, 19.10.2019 00:30 acesangel173

Which of the following is an arithmetic sequence? a. 0, 2, 4, 6, b. 1, 2, 4, 8, c. 1, 4, 8, 13,

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An arithmetic sequence is a sequence in which the difference of the succeeding terms in the sequence is the same. In this case, the one that has an arithmetic sequence is A. 0, 2, 4, 6.. with an arithmetic difference of 2. Option B is a geometric series

Answer from: pinklavalamp

The arithmetic sequence is and it matches with .

Further explanation:

The three options are given as follows:

Now, for OPTION A, the sequence is .

Here, the first term is , the second term is and third term 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.

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

Now, for OPTION B, the sequence is .

Here, the first term is , the second term is and third term is 4.

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

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

Now, for OPTION C, the sequence is .

Here, the first term is 1 , the second term is and third term is .

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

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

Thus, the arithmetic sequence is and it matches with .

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

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Answer from: Quest

191 students play sports and ninety-seven 10th graders were surveyed.

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Which of the following is an arithmetic sequence? a. 0, 2, 4, 6, b. 1, 2, 4, 8, c. 1, 4, 8, 13,...