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Given ANY number at all, it is possible to find a cubic polynomial such that that particular number is the nth number in a sequence starting with the above three.

The simplest rule, however, is Un = 5n + 9

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Q: What is the nth term 14 19 24?
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Assuming the pattern would continue: 25, 24, 23, 22, 21, 20, 19, 18, 17, 16, 15, 14, 13...


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The pattern between these numbers seems to be that they are incrementing by five each time. (9 - 4 = 5, 14 - 9 = 5, etc.) Also, the series starts at four. So the formula to find the nth term for this series would be 5(n-1) + 4 For the first in the series to be four, the n being multiplied by the five must be zero, so that is why there is the minus one. Testing the formula: 5(3-1) + 4 = 14 correct 5(5-1) + 4 = 24 correct


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