Sequences Sudoku (Fun With Sudoku #55)

This puzzle I created for the practice of Sudoku Cup 2. This puzzle looks similar to Snake Sudoku which appeared in World Sudoku Championship 2009. The only difference is that in Snake Sudoku in the sequence the difference between two consecutive numbers is 1 but in "Sequences Sudoku", difference could be anything. This Sequences Sudoku I created during 2009 for the practice of World Sudoku Championship 2009.
This Sequences Sudoku, I  am re-posting as 55th Sudoku in Fun With Sudoku Series.

Rules of Sequences Sudoku

Classic Sudoku Rules  apply. Additionally, the digits along the gray lines are arithmetic sequences. It means that the difference between two following digits along the line is the same and the digits are not repeated there.

Example: 1-3-5 or 9-8-7-6

Sequences Sudoku  (Fun With Sudoku #55)

Sequences Sudoku (Fun With Sudoku #55) Solution

Previous Fun With Sudoku Series Puzzle: Tens Sudoku (Fun With Sudoku #54)
Next Fun With Sudoku Series Puzzle: Standard Sudoku (Fun With Sudoku #56)

Solution of Daily Sudoku League Puzzle NoTwo Sudoku (Daily Sudoku League #113)

NoTwo Sudoku (Daily Sudoku League #113) Solution