To find the equation of a sequence, you first have to look at the differences between the numbers. In this case the differences are 4, and 4. Thus the equation begins 4n.
The sequence minus 4n is:
3, 3, 3
Thus the equation in its entirety is that the value of the term in position n is 4n+3
a position to term rule is a number sequence that carries on through a sequenced pattern that is uneven.For example: 7, 9, 11, 13, 15STOP THIS IS WRONG2, 4, 8, 16, 32 CORRECTbecause it is not something you would guess, not just adding, but doubling.
Un = 4n - 13.
The nth term is: 3n+2 and so the next number will be 20
The given sequence is an arithmetic sequence with a common difference of 7 (18-11=7, 25-18=7, and so on). To find the nth term of an arithmetic sequence, you can use the formula: a_n = a_1 + (n-1)d, where a_n is the nth term, a_1 is the first term, n is the position of the term, and d is the common difference. In this case, the first term a_1 is 11 and the common difference d is 7. So, the nth term of this sequence is 11 + (n-1)7, which simplifies to 11 + 7n - 7, or 7n + 4.
10n + 1
A position-to-term rule is a method in mathematics used to find the value of a term based on its position in a sequence or pattern. It typically involves using a formula or equation to determine the relationship between a term's position and its value in the sequence.
1 2 3 4 5 2 5 8 11 14 ... If this is the sequence, the position-to-term rule is 3n-1. However, it could be another sequence depending on the rest of the terms.
8, 9, 10, 11, 12, . . . etc.
The given sequence is 11, 31, 51, 72 The nth term of this sequence can be expressed as an = 11 + (n - 1) × 20 Therefore, the nth term is 11 + (n - 1) × 20, where n is the position of the term in the sequence.
a position to term rule is a number sequence that carries on through a sequenced pattern that is uneven.For example: 7, 9, 11, 13, 15STOP THIS IS WRONG2, 4, 8, 16, 32 CORRECTbecause it is not something you would guess, not just adding, but doubling.
The nth term in the sequence -5, -7, -9, -11, -13 can be represented by the formula a_n = -2n - 3, where n is the position of the term in the sequence. In this case, the common difference between each term is -2, indicating a linear sequence. By substituting the position n into the formula, you can find the value of the nth term in the sequence.
There are infinitely many possible answers. Given ANY number, it is always possible to find a polynomial of order 5 [at most] that can be used as the nth term rule for the given five number and the additional sixth. There are also non-polynomial solutions. Each different sixth number will result in a different polynomial and, since there are infinitely many sixth numbers, there are infinitely many answers to the question. Having said that, the simplest polynomial solution is Un = 9n - 2
Un = 4n - 13.
The rule that generates the sequence is Un = 9 + 2n (for n = 1, 2, ...
The nth term is: 3n+2 and so the next number will be 20
The given sequence is an arithmetic sequence with a common difference of 7 (18-11=7, 25-18=7, and so on). To find the nth term of an arithmetic sequence, you can use the formula: a_n = a_1 + (n-1)d, where a_n is the nth term, a_1 is the first term, n is the position of the term, and d is the common difference. In this case, the first term a_1 is 11 and the common difference d is 7. So, the nth term of this sequence is 11 + (n-1)7, which simplifies to 11 + 7n - 7, or 7n + 4.
10n + 1