A 1 3 the first term is 3 a n a n 1 2 add 2 to the previous term. This formula is just for arithmetic sequences. A recursive formula allows us to find any term of an arithmetic sequence using a function of the preceding term.
A sequence made by adding the same value each time.
B The nth term of the arithmetic sequence is denoted by the term T n and is given by T n a n-1d where a is the first term and d is the common difference. Each number in the sequence is called a term or sometimes element or member read Sequences and Series for more details. An arithmetic sequence is a list of numbers with a definite pattern. A recursive formula allows us to find any term of an arithmetic sequence using a function of the preceding term.