eng Science and Education Publishing American Journal of Applied Mathematics and Statistics 2333-4576 2014-11-21 2 6A 1 5 10.12691/ajams-2-6A-1 AJAMS201426A1 article Vishwa Nath Maurya prof.drvnmaurya@gmail.com 1 Ram Bilas Misra 2 Chandra K. Jaggi 3 Avadhesh Kumar Maurya 4 Rajnesh Krishnan Mudaliar 5 Professor & Head, Department of Pure & Applied Mathematics and Statistics, School of Science & Technology, The University of Fiji, Fiji Islands Professor of Applied Mathematics, State University of New York, Korea Ex Vice-Chancellor, Dr. Ram Manohar Lohia Avadh University, Faizabad, UP, India Professor & Head, Department of Operations Research, University of Delhi, New Delhi, India Assistant Professor & Head, Department of Electronics & Communication Engineering, Lucknow Institute of Technology, Gautam Buddha Technical University, Lucknow, U.P., India Lecturer, Department of Mathematics & Statistics, Fiji National University, Lautoka, Fiji Islands Present paper envisages a novel approach to explore some real sequences by using the gamma function, arithmetic progression (AP) and geometric progression (GP). Particularly, applications of properties of both the arithmetic progression (AP) and geometric progression (GP) are focused to find out some real sequences which can be significantly useful in emerging fields of engineering science and technology. Real sequences play vital role in testing of convergence of infinite power series in real analysis and engineering mathematics. In this paper, several propositions pertaining to real sequences are explored and examined by way of presenting proofs. In addition to this, various numerical examples are also illustrated in order to emphasis the application aspect of real sequences explored herein. Finally, some significant conclusions are drawn for future scope and further findings with different versions of real sequences. http://pubs.sciepub.com/ajams/2/6A/1/ajams-2-6A-1.pdf real sequence n^th term complex number gamma function arithmetic progression geometric progression