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Answer:
1. 8,13,18,23,28,33,38.
rule: adding 5 to the preceding term
2. 2,3,5,9,17,33,65,129,257.
rule: adding 2 to the powers of 0,1,2,3,4,5,6,7
3. 3,7,19,55,163,.
rule: a
4. 50,47,44,41,38,35,32.
rule: subtracting 3 to the preceding term
5. 3,9,27,81,243,729,2187.
rule: multiplying 3 to the preceding term