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There are infinitely many sequence that will fit the above four numbers so there are infinitely many possible answers. For example, the sequence could be based on the rule Un = (-7n4 + 70n3 -233n2 + 338n - 168)/12 for n = 1, 2, 3, ... It is probably based on Un = n*(n+1) for n = 1, 2, 3, ...
A: Un+1 = Un + d is recursive with common difference d.B: Un+1 = Un * r is recursive with common ratio r.C: The definition seems incomplete.A: Un+1 = Un + d is recursive with common difference d.B: Un+1 = Un * r is recursive with common ratio r.C: The definition seems incomplete.A: Un+1 = Un + d is recursive with common difference d.B: Un+1 = Un * r is recursive with common ratio r.C: The definition seems incomplete.A: Un+1 = Un + d is recursive with common difference d.B: Un+1 = Un * r is recursive with common ratio r.C: The definition seems incomplete.
Given any number it is easy to find a rule based on a polynomial of order 6 such that the first six numbers are as listed in the question and the next is the given number. There are also non-polynomial solutions.The simplest rule, based on a polynomial of order 5, isUn = (-4n5 + 75n4 - 510n3 + 1665n2 - 2306n + 1440)/120 for n = 1, 2, 3, ...Another possibility is a Fibonacci-like sequence withU1 = 3, U2 = 4 and Un+2 = Un + Un+1 for n = 1, 2, 3, ...
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.
Un-restricted submarine warfare
Velocity.
Vacanze per un massacro - 1980 is rated/received certificates of: Germany:BPjM Restricted
The announced resumption of un-restricted submarine warfare.
Germany announced plans to resume un-restricted sub warfare; they were warned not to do it.
San Fransisco
Sinking civilian ships without warning (un-restricted submarine warfare).
Sinking w/o warning (un-restricted submarine warfare).
Submarines kept sinking civilian ships; un-restricted submarine warfare.
Sinking of the Lusitania and breaking promises of un-restricted submarine warfare. Preventing U.S trade.
UN-Restricted sub warfare was conducted in both WWI & WWII, & in all oceans & by all major combatants (US, Japan, Germany, Britain, Russia, etc.): Atlantic Ocean, Pacific Ocean, Indian Ocean, etc. Un-restricted sub warfare simply meant, "not giving prior warning to the vessel to be sunk."
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