A STUDY OF DIFFERENCES BETWEEN SEQUENCE AND SERIES WITH VARIOUS REAL APPLICATIONS

Authors

  • Seema Research Scholar Bhagwant University, Ajmer, Rajasthan
  • Dr. Jyoti Gupta Supervisor

Keywords:

Applications of sequence and series, Real Analysis, Arithmetic and Geometric Applications

Abstract

In this study, we examine the differences between real analysis concepts- sequence and series. This is accomplished by conducting textbook analysis commonly used in real analysis textbooks. The differences discussed through different real life examples and applications. Arithmetic and geometric progression are studied in depth with the help of examples. Here we learn interesting methods of finding the nth term and partial sum for series. The results of this textbook analysis suggests that several differences between sequence and series do exist with a particular emphasis on functions. Implications, limitations, and future research are also discussed.

References

 1.G. B. Folland, Real Analysis, 2nd edition, John Wiley & Sons, New York, 1999.

 H. Royden, Real Analysis, 3rd edition, Macmillan Pub. Co., New York, 1988.

 G. Klambauer, Aspects of Calculus, Springer-Verlag, New York, 1986.

 M. Spivak, Calculus, 3rd edition, Publish or Perish, Inc., Houston, 1994.

 5.M. Spivak, Calculus on Manifolds, W. A. Benjamin, New York, 1965.

Downloads

Published

2023-06-30

How to Cite

Seema, & Dr. Jyoti Gupta. (2023). A STUDY OF DIFFERENCES BETWEEN SEQUENCE AND SERIES WITH VARIOUS REAL APPLICATIONS. Innovative Research Thoughts, 9(3), 89–95. Retrieved from https://irt.shodhsagar.com/index.php/j/article/view/733

Issue

Vol. 9 No. 3 (2023): Volume 9 | Issue 3 | Apr - Jun 2023

Section

Articles

License

Creative Commons License

This work is licensed under a Creative Commons Attribution-NonCommercial 4.0 International License.