According to Wittgenstein's Finite Rule Paradox every finite sequence of numbers can be a described in infinitely many ways and so can be continued any of these ways - some simple, some complicated but all equally valid. Conversely, it is possible to find a rule such that any number of your choice can be the next one.
One possible solution for the general term, based on a polynomial of order 4 is:Un = (154,325*n4 - 1,526,130*n3 + 5,299,555*n2 - 7,525,350*n + 3,597,720)/120
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The general term for the sequence 0, 1, 1, 2, 2, 3, 3 is infinite sequence.
The nth term of a sequence is the general formula for a sequence. The nth term of this particular sequence would be n+3. This is because each step in the sequence is plus 3 higher than the previous step.
The 9th term of the Fibonacci Sequence is 34Fibonacci Sequence up to the 15th term:1123581321345589144233377610
There are two ways to say the general rule. They both mean exactlythe same thing, and they both generate the same sequence:1). Starting with 15, each new term is 3 less than the one before it.2). The nth term of the sequence is [ 18 - 3n ] or [ 3 times (6 - n) ].
It is called a term.Each number in a sequence is called a term.