To get the next term, add the sum of all previous terms
to the most recent term.
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5-8-13-21-34-56-90.... The next number is the sum of the two previous numbers. This is the Fibonacci sequence, 1-1-2-3-5-8-13-21-34-56-90 etc
89.
Add the previous 2 numbers to get the next number.
If you mean: 1 1 2 3 5 8 13 21 then the next number is 13+21 = 34
One possible rule is: Un = (243n5 - 4210n4 + 27225n3 - 60830n2 + 106452n - 45960)/120 for n = 1, 2, 3, etc