Question

A,3x+2,b form an arithmetic sequence.if the common difference is 2x - 1 , what is A equal to?​

Answer 1

x + 3

Explanation:

3x+2 is the 2nd term

2x-1 is the commind difference (d)

so you just need to substract it

3x+2

-(+2x-1) -------transpose -2x+1

3x+2

-2x+1

---------

x+3

Answer 2

a is equal to x + 3

Explanation:

Arithmetic Sequences

The arithmetic sequences are identified because any term n is obtained by adding or subtracting a fixed number to the previous term. That number is called the common difference.

We are given the sequence:

a, 3x+2, b

And the common difference is 2x-1

Subtracting the second and the first terms:

3x + 2 - a

We can find the common difference since it's given:

3x + 2 - a = 2x - 1

Solving for a:

- a = -3x - 2 + 2x - 1

- a = -x - 3

a = x + 3

a is equal to x + 3