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Definitions : Sequence, Geometric Progression, String, Recursive

On the following terms could you please give my an English text description - in your own words. Thanks.

1. Sequence
2. Geometric Progression
3. String
4. Recursive definition of a function
5. Recursive definition of a set
6. Recursive algorithm
7. Program correctness
8. Loop invariant
9. Final assertion

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Definitions of Sequence, Geometric Progression, String, Recursive definition of a function, Recursive definition of a set, Recursive algorithm, Program correctness, Loop invariant, Final assertion are provided. The solution is detailed and well presented. The response received a rating of "5/5" from the student who originally posted the question.

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