-31.
The rule is
t(n) = -2n3 + 12n2 -19n + 14 where n = 1, 2, 3, ...
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The number 7 comes next.
-27 You subtract powers of 2 everytime... 1,2,4,8,16
67
prime numbers - next number is 13
42 as you have to add the next prime number onto the previous value.