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).
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
2n(n+1)
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
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 in the series is [ 2N ] .
Clearly, if you omit the sign, the nth. term will be 4n. The alternating sign can easily be expressed as a power of (-1), so in summary, the nth. term is (-1)n4n.
The nth term is: 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
The nth term is equal to 4n.
6n+10
n2
Given n and any number for the nth term, it is a simple matter to find a rule such that the above four numbers are the first four of a sequence and the given number in the nth position.However, the simple answer for simple questions is Un = 4n
Please note that (a) this is a sequence of square numbes, and (b) the sequence starts at 22.