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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
The amount of money deposited in a bank, over a number of years form a sequence. Depreciated values of certain commodity occur in a sequence. Sequences have important applications in several spheres of human activities. Sequences, following specific patterns are called progr essions.
Oct 6, 2021 · 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.
NCERT Solutions for Class 11 Maths Chapter 9 Sequences and Series All Exercises were prepared by Experienced LearnCBSE.in Teachers.
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}
In this section we define an infinite series and show how series are related to sequences. We also define what it means for a series to converge or diverge. We introduce one of the most important types of series: the geometric series.
Dec 21, 2020 · Recall that a series, roughly speaking, is the sum of a sequence. Associated with a series is a second sequence, called the sequence of partial sums. A series converges if the sequence of partial sums converges, and otherwise the series diverges.
A sequence is an ordered list of numbers. A series is the sum of the terms of a sequence. When describing sequences, the following notation is standard: \ [ \ {a_n\}_ {n=1}^ {n=10}, \quad a_n = n^2.\] The first part of this description, \ ( \ {a_n\}_ {n=1}^ {n=10} \), could be expanded as a list like this: \ ( a_1, a_2, a_3, \dots, a_9, a_ {10} \).
