The pattern will be +2, +3, +4, +4
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The pattern rule for the given sequence is that each number is the sum of the previous number and a specific increment. In this case, the increment appears to be increasing by 1, then 2, then 3, then 4, and finally 5. So, the pattern rule can be expressed as: (n = n-1 + k), where (k) is the increment.
prime numbers
t(n) = 5 + 2*n
If you mean: 2 5 11 23 47 then they are increasing by 3 6 12 24
One possible rule is: Un = (243n5 - 4210n4 + 27225n3 - 60830n2 + 106452n - 45960)/120 for n = 1, 2, 3, etc