Arithmetic sequence definition in math. Free GCSE maths revision guide to the arithmetic sequence, including step by step examples, exam questions, and free worksheet. This difference is referred to as the “ common difference,” and it can be positive, negative, or zero. The arithmetic sequence is the sequence where the common difference remains constant between any two successive terms. An arithmetic sequence is a sequence for which we add a constant number to get from one term to the next, for example: 8, ↪ + 3 11, ↪ + 3 14, ↪ + 3 17, ↪ + 3 Jul 23, 2025 · An Arithmetic Sequence is a sequence of numbers in which the difference between consecutive terms is constant. AI generated definition based on: Encyclopedia of Physical Science and Technology (Third Edition), 2003 2. An itemized collection of elements in which repetitions of any sort are allowed is known as a sequence, whereas a series is the sum of all elements. However, many authors use a narrower definition by requiring the domain of a Review arithmetic sequences and solve various problems involving them. This difference is called the common difference of the sequence. Also, every sequence follows a specific pattern. The difference between consecutive terms, a_ {n}-a_ {n-1}, is d, the common difference, for n greater than or equal to two. The general formula for the nth term is an = a1+d (n-1). Know its formula and how to solve problems relating to it through sample Feb 14, 2022 · An arithmetic sequence is a sequence where the difference between consecutive terms is always the same. vrla zamf oiqw 6czv p4z n7v 8ggvnhm vg8 krpeh1 iln