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

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.

d) 30 units^2

area of rectangle = l × b

we know,

length = 10 unit

breadth = 3 unit

applying the formula,

= l × b

= 10 × 3

= 30 unit^2

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