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Sequence and Series have been explained here in detail with examples. Learn types of sequences such as Arithmetic, Geometric, Harmonic, Sequences and Fibonacci Numbers
A sequence is a function whose domain consists of a set of natural numbers beginning with \(1\). In addition, a sequence can be thought of as an ordered list. Formulas are often used to describe the \(n\)th term, or general term, of a sequence using the subscripted notation \(a_{n}\). A series is the sum of the terms in a sequence.
Sequence and series is one of the basic concepts in Arithmetic. Sequences are the grouped arrangement of numbers orderly and according to some specific rules, whereas a series is the sum of the elements in the sequence.
Practising the NCERT Solutions Class 11 Chapter 9 Sequences and Series can help the students develop a thorough understanding of the topics explained in the Chapter.
A Sequence is like a Set, except: the terms are in order (with Sets the order does not matter) the same value can appear many times (only once in Sets) Example: {0, 1, 0, 1, 0, 1, ...} is the sequence of alternating 0s and 1s. The set is just {0,1}
SEQUENCES AND SERIES. vNatural numbers are the product of human spirit. – DEDEKIND v. 9.1 Introduction. In mathematics, the word, “sequence” is used in much the same way as it is in ordinary English.
Sequences and Series: An Introduction to Mathematical Analysis. by Malcolm R. Adams. c 2007. Chapter 1. Sequences. 1.1 The general concept of a sequence. We begin by discussing the concept of a sequence. Intuitively, a sequence is an ordered list of objects or events.