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
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.
The general term of the sequence 2, 4, 2, 4, 2, 4 is repeating number sequence.
The general term for the sequence 0, 1, 1, 2, 2, 3, 3 is infinite sequence.
an = a1 + d(n - 1)
Un = n*(n+1)/2
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.
There is no general answer. It depends on the information about the sequence that is already known.
The general (or nth) term is given by the equation t(n) = a + (n-1)d where a is the first term and d is the common difference between successive terms.
In a Geometric Sequence each term is found by multiplying the previous term by a common ratio except the first term and the general rule is ar^(n-1) whereas a is the first term, r is the common ratio and (n-1) is term number minus 1
You need an equation for the nth term of the sequence, or some other means of identifying the sequence. In general, they will be a+n, a+2n, a+3n and a+4n although some go for a, a+n, a+2n and a+3n.
The 9th term of the Fibonacci Sequence is 34Fibonacci Sequence up to the 15th term:1123581321345589144233377610
It is an expression used in the context of sequences and refers to a way of expressing any term in the sequence using an index or counter. It is often called the nth term.
It is the sequence of first differences. If these are all the same (but not 0), then the original sequence is a linear arithmetic sequence. That is, a sequence whose nth term is of the form t(n) = an + b