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One single number, such as 634413087 does not define a sequence.
Assuming each term is 3 MORE than the previous term t(n) = -13 + 3*n where n = 1, 2, 3, ...
It is often possible to find an explicit formula that gives the same answer as a given recursive formula - and vice versa. I don't think you can always find an explicit formula that gives the same answer.
what is the recursive formula for this geometric sequence?
A sequence cannot be defined by one number. At least, not a sequence of any value.