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
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
To find the nth term of a sequence, we first need to identify the pattern or rule governing the sequence. In this case, the sequence appears to be increasing by 4, then 8, then 12, then 16, and so on. This pattern suggests that the nth term can be represented by the formula n^2 + n, where n is the position of the term in the sequence. So, the nth term for the given sequence is n^2 + n.
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