There are infinitely many possible answers.
The only solution in the form a cubic polynomial is
Un = (25n3 - 147n2 + 236n - 120)/12 for n = 1, 2, 3, 4
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Each term is 6 more than the last term; ie add 6 to the current term to get the next term. U{n} = 6n + 4 for n = 1, 2, 3, 4
The rule is multiply the previous term by -1 to find the next term.
Each term is increased by adding five times three to an increasing exponent. 2 + 5 x 3 to the zero = 7 + 5 x 3 to the first = 22 + 5 x 3 squared = 67 The next term would be 202 which makes the rule something like n = n + 5 x 3 to the x+1, but please double-check that.
In a Geometric Sequence each term is found by multiplying the previous term by a common ratio except the first term and the general rule is ar^(n-1) whereas a is the first term, r is the common ratio and (n-1) is term number minus 1
To find the nth term of a sequence, we first need to identify the pattern or rule governing the sequence. In this case, the sequence appears to be increasing by 9, then 13, then 17, and so on. This pattern indicates that the nth term is given by the formula n^2 + n - 1. So, the nth term of the sequence 0, 9, 22, 39, 60 is n^2 + n - 1.