Abstract

This chapter discusses the infinite series. It presents an expression of the form a1 + a2+ a3 +… + an +… where the an are real numbers. It describes sequences informally as a string of numbers. The most interesting sequences are those in which there is some pattern to this string of numbers. A sequence A is a real-valued function that assigns to each non-negative integer some real number. It may or may not be defined for zero. The value of A at n is usually written An instead of A(n), and the sequence itself is commonly represented by {An}.

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