SEQUENCES AND SERIES
Sequence and series are the basic topics in Arithmetic. 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. An arithmetic progression is one of the common examples of sequence and series. Sequence and Series Definition A sequence is an arrangement of any objects or a set of numbers in a particular order followed by some rule. If a 1 , a 2 , a 3 , a 4 ,……… etc. denote the terms of a sequence, then 1,2,3,4,…..denotes the position of the term. A sequence can be defined based on the number of terms i.e. either finite sequence or infinite sequence. If a 1 , a 2 , a 3 , a 4, ……. is a sequence, then the corresponding series is given by S N = a 1 +a 2 +a 3 + .. + a N Types of Sequence and Series Some of the most common examples of sequences are: Arithmetic Sequences Geometric Sequences Harmonic Sequences Fibonacci Numbers Arithmetic Sequences A sequence in which every ...