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What is the next number un this pattern 12 24 72 288?
It is: 5*288 = 1440
What number comes next in this series 3 618 72?
The next number in the series 3, 618, 72, is -1635. The relevant rule is Un = (-1161n2 + 4713n - 3546)/2 for n = 1, 2, 3, ...
What is the next sequence number 56 50 54?
There are infinitely many rules that can generate this sequence. As imple one is Un = 5n2 - 21n +72 for n = 1, 2, 3, ... And then n = 4 gives U4 = 68
What is the rule to number sequence 14 36 8 44 60 28 72?
There are many possible answers. One of these is Un = (79n6 - 2421n5 + 28225n4 - 159375n3 + 453736n2 - 606804n - 281520)/360 for n = 1, 2, 3, ...
How many recursive patterns can you find with 4 plus 7 as the first 2 terms?
Infinitely many. For example: Un+1 = Un + 3 or Un+1 = 2*Un - 1 or Un+1 = 3*Un - 5 or, more generally, Un+1 = k*Un + 7 - 4*k where k is any number. Each one of them will be different from the third term onwards. These are linear patterns. There are quadratic and other recursive relationships.
