If `|x-1|,3 and |x-3|` are first three terms of an increasing AP, then find the 6th term of on AP .

Explanation

To solve the problem step by step, we need to analyze the conditions given for the absolute values and determine the values of \( x \) that satisfy the conditions for an increasing arithmetic progression (AP).

### Step 1: Identify the terms of the AP
The terms of the AP are given as:
- \( a = |x - 1| \)
- \( b = 3 \)
- \( c = |x - 3| \)

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