Arithmetic Sequence Formula

Given the first term and the common difference of an arithmetic sequence find the recursive formula and the three terms in the sequence after the last one

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

arithmetic sequence A sequence is a list of numbers, either finite or infinite in length A sequence is arithmetic if all consecutive pairs of numbers in the sequence have a common

arithmetic sequence The nth or general term of an arithmetic sequence is given by an=a1+d So in our example a1=2 and d=4 so an=2+4=2+4n−4=4n−2