A topic generally associated with sequences is series. (a) Research series and explain what a series is
Question:
A topic generally associated with sequences is series.
(a) Research series and explain what a series is and how it differs from a sequence. Also write a formal definition of series. Give examples of different kinds of series.
(b) Write the arithmetic series associated with the arithmetic sequence 1, 4, 7, 10, 13, . . .
(c) Write the geometric series associated with the geometric sequence 3, 6, 12, 24, 48, . . .
(d) What is an infinite geometric series?
(e) Determine the sum of the terms of the infinite geometric series 1 + 1/2 + 1/4 + 1/8 + 1/16 + . . .
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Jekil Gadhiya
I am Jekil Gadhiya, completed my Graduation(B.Sc in Mathematics) from Saurashtra University in 2012, post-graduation( M.Sc in Mathematics) from Saurashtra University in 2014.Currently I am doing research on Graph theory and pursing my Ph.D. from the same university.
I have been working as an Assistant Professor in an Engineering College from last 5 years. Also, I am having 5 years of Online teaching experience in different online websites (like Chegg,study.com, Tutoreye, Toppr, etc).
As per my view Mathematics is not the subject of formulae and theorem only, but it's the subject of pattern and logic. So learning and teaching this phenomenal subject is always being fun for me.To learn this subject you need an eye to see a logical pattern behind the things and I'm able to provide it due to the broad experience of teaching Mathematics.
Subject wise I have several experiences in teaching Calculus, Algebra, Linear Algebra, Differential Equations, Trigonometry, Vedic Maths, etc.
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Related Book For 
A Survey of Mathematics with Applications
ISBN: 978-0134112107
10th edition
Authors: Allen R. Angel, Christine D. Abbott, Dennis Runde
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