SEQUENCE AND SERIES
CLASS : 11
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Introduction
In mathematics, the word, “sequence” is used in much the same way as it is in ordinary English. When we say that a collection of objects is listed in a sequence, we usually
mean that the collection is ordered in such a way that it has an identified first member, second
member, third member and so on. For example, population of human beings or bacteria at different times form a sequence. 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
progressions. In previous class, we have studied about arithmetic progression (A.P). In this
Chapter, besides discussing more about A.P.; arithmetic mean, geometric mean,
relationship between A.M. and G.M., special series in forms of sum to n terms of
consecutive natural numbers, sum to n terms of squares of natural numbers and sum to n
terms of cubes of natural numbers will also be studied.
Natural numbers are the product of human spirit. – DEDEKIND
Don't forget to download :
- HSEB Notes of mathematics on Principle Of Mathematical Induction
- HSEB Notes of mathematics on Trigonometry and Trigonometric Functions
- HSEB Notes of mathematics on Relation and Function
- HSEB Notes of mathematics on Sets
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