Find x and terms in the Arethmetical progression.

2x , 17 , 3x-1

### 2 Answers | Add Yours

Given that 2x, 17, 3x-1 are terms is A.P

Let us assume that the common difference is r.

Then we know that:

17 = 2x + r ...........(1)

Also we know that:

3x-1 = 17 + r

=> -18 = -3x + r...........(2)

Let us solve the system.

We will subtract (2) from (1).

==> 35 = 5x

==> x = 35/5 = 7

Then x= 7

Now we will substitute and determine the terms.

==> 14 , 17, 20

**Then the terms are : 14, 17, 20 and the value of x = 7**

The terms 2x , 17 and 3x - 1 are in an arithmetical progression.

We know that for 3 consecutive terms of an AP, the second term is the arithmetic mean of the 1st and 3rd terms.

=> 17 = (2x + 3x - 1)/2

=> 17 = (5x - 1)/2

=> 5x - 1 = 34

=> 5x = 35

=> x = 35/5

=> x = 7

**The value of x = 7.**

### Join to answer this question

Join a community of thousands of dedicated teachers and students.

Join eNotes