Writing a General Formula of an Arithmetic Sequence

Key Concepts A recursive formula for an arithmetic sequence with common difference d d is given by an=an−1+d,n≥2 a n = a n − 1 + d , n ≥ 2 An explicit

An arithmetic sequence is a sequence where each term increases by addingsubtracting some

arithmetic sequence The general term of an arithmetic sequence can be written in terms of its first term a1, common difference d, and index n as follows: an=a1+d

arithmetic sequence If the sequence has a common difference, it is arithmetic; if it has a common ratio, it is geometric We can therefore determine whether a sequence is