Sequences Sudoku (Fun With Sudoku #55)

This puzzle I created this 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", the difference could be anything. This Sequences Sudoku I created in 2009 for the practice of the World Sudoku Championship 2009.
This Sequences Sudoku, I am re-posting as the 55th Sudoku in the Fun With Sudoku Series. Can you solve this Sequences Sudoku puzzle?

Rules of Sequences Sudoku

Classic Sudoku Rules apply. Additionally, the digits along the gray lines are arithmetic sequences. It means that the difference between the 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)


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
NoTwo Sudoku (Daily Sudoku League #113) Solution

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