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this cannot be solved, as there is no pattern...
The sequence 1, 3, 10, 34 can be generated by the pattern where each term is derived from the previous term using a specific polynomial relationship. To find the next number, we can observe that each number approximately multiplies by increasing factors and adds a constant. The next number in this sequence is 122, following the identified pattern.
6; alternating decreasing series, by twos
3 4 5 6 The next number is 1 plus the previous number So the pattern rule is the next number is n + 1
10.1(+2) 3 (+3) 6 (+4) 10