It could be any number that you like!
Given ANY number, it is easy to find a polynomial of order 5 that will fit the above five and the selected sixth number.
For example, the rule for the nth terms is:
Un = (3n5 - 45n4 + 255n3 - 675n2 + 842n - 340)/5 will give U6 = 100
or
Un = (110n5 - 165n4 + 935n3 - 2475n2 + 3254n - 1080)/60 will give U6 = 50
and so on.
However, going for a polynomial of order 4, the nth term is 4 + 4n or 4(n+1).
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Give the simple formula for the nth term of the following arithmetic sequence. Your answer will be of the form an + b.12, 16, 20, 24, 28, ...
8 + 4n
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.
16
6n+10