Transcription of INFINITE SERIES
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INFINITE SERIES
Appendix 1. INFINITE SERIES . Introduction As discussed in the Chapter 9 on Sequences and SERIES , a sequence a1, a2, .., an, .. having INFINITE number of terms is called INFINITE sequence and its indicated sum, , a1 + a2 + a3 + .. + an + .. is called an infinte SERIES associated with INFINITE sequence. This SERIES can also be expressed in abbreviated form using the sigma notation, , . a 1 + a2 + a 3 + .. + an + .. = a k =1. k In this Chapter, we shall study about some special types of SERIES which may be required in different problem situations. Binomial Theorem for any Index In Chapter 8, we discussed the Binomial Theorem in which the index was a positive integer.
Finance, Management etc. The use of Mathematics in solving real-world problems has become widespread especially due to the increasing computational power of digital computers and computing methods, both of which have facilitated the handling of lengthy and complicated problems. The process of translation of a real-life problem °
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