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They are antonyms. Following means coming after. Preceding means coming before.
The next number is 13, the total of the two numbers preceding it.
I'm going to assume by "most probable answer" you mean the next term? The next term is 63. The pattern in this sequence is to add the preceding number to the current number to get the next number. For example, to get to 9, you add 3 to 6. To get to 15, you add 6 to 9 and so on and so forth.
preceding EOT succeeding E10
To be next to or in contact with