0.5n(n+1)
1, 3, 6, 10, ... The nth term is n*(n+1)/2
yes
The position to term rule in mathematics refers to a method used to identify the terms of a sequence based on their position or index. For example, in an arithmetic sequence, the nth term can be expressed as a linear function of n, typically in the form (a_n = a + (n-1)d), where (a) is the first term and (d) is the common difference. This rule helps in finding specific terms without listing the entire sequence. It's also applicable in other types of sequences, such as geometric sequences, where the nth term is determined by a different formula.
a maths solution
Nth term formulas are mathematical expressions used to find the position or value of a term in a sequence. The most common types include arithmetic sequences, where the nth term is given by ( a_n = a_1 + (n-1)d ) (with ( d ) as the common difference), and geometric sequences, represented by ( a_n = a_1 \times r^{(n-1)} ) (with ( r ) as the common ratio). For other types of sequences, such as quadratic or exponential, the nth term can be derived using specific polynomial or exponential functions. Each formula is tailored to the pattern of the sequence in question.
1, 3, 6, 10, ... The nth term is n*(n+1)/2
In the study of sequences, given a number n, the position to term rule tells you how the nth term of the sequence is calculated.
nth term = 5 +8n
whats the nth term for 9,12,17,24,33
yes
It is T/2 * (t+1)
a maths solution
6n-5 is the nth term of this sequence
Nth term formulas are mathematical expressions used to find the position or value of a term in a sequence. The most common types include arithmetic sequences, where the nth term is given by ( a_n = a_1 + (n-1)d ) (with ( d ) as the common difference), and geometric sequences, represented by ( a_n = a_1 \times r^{(n-1)} ) (with ( r ) as the common ratio). For other types of sequences, such as quadratic or exponential, the nth term can be derived using specific polynomial or exponential functions. Each formula is tailored to the pattern of the sequence in question.
To generate sequences from an nth term, you can substitute integer values of n into the formula defining the nth term. For example, if the nth term is given as ( a_n = 2n + 1 ), you can find the first few terms by calculating ( a_1, a_2, a_3, ) and so on. This will produce a sequence by evaluating the formula at those specific integer values of n. By continuing this process, you can generate as many terms as needed.
Wow you really can't spell.
The nth term is 6n+1 and so the next term will be 31