Find next terms in sequences

Q: Find next terms in sequences

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Question

Pattern Recognition: Find the Rule and Next Term

You are given 8 number sequences. For each sequence:

Identify a clear rule that generates the terms shown.
Compute the next term.
Briefly explain your reasoning.

12, 28, 36, 84, 88, 168, ?
4/3, 1, 5, 8, 23, 47, ?
3, 1, 2, 6, 12, 144, ?
1/5, 2/3, 3/11, 3/6, 5/17, 4/9, ?
7, 14, 24, 6, 12, 22, ?
19, 18, 20, 60, 15, 14, 16, ?
4, 2, 6, 6, 30, 150, ?
1, 3, 7, 17, 41, 99, ?

Find next terms in sequences

Pattern Recognition: Find the Rule and Next Term

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