Development and Applications of Finite Term of Kifilideen's Generalized Matrix Progression Sequence in Actual Life

Background: In a working environment where we have different work (working) force levels based on experience, expertise and professional progression along the work line, arithmetic progression can be applied to cater for the movement of a worker as he/she climbs up the ladder. However, in a situation whereby there are some discrepancies amongst workers within a level, where these discrepancies cater for some sort of validations, then there is need for a matrix progression sequence where members with sufficient capacity and potential, migrate to higher class or levels in order that all associative attributes of such members are not overlooked and justice is done. Thus, there is need to develop a scientific standardized method to analyse, formulate, and illustrate the application of such given situation.Objective: This study developed and applied finite term of Kifilideen’s Generalized Matrix Progression Sequence in Actual Life. Materials and Methods: The pattern and formulation of the power combination of the Kifilideen’s Trinomial Theorem of positive power of 𝑛 in the Kifilideen’s Matrix Structural Framework was utilized and generalized to design and draw up the Kifilideen’s Matrix Progression Sequence of finite term which is then devise, visualized, generalized and incorporated into actual life situation. Results: Actual life applications and solutions to various word problems on the developed finite term of Kifilideen’s Generalized Matrix Progression Sequence was presented and analysis.Conclusion: The study and findings in this paper show that the finite term of the Kifilideen’s Generalized Matrix Progression Sequence can be used to predict accurately the value of the components of the elements of any system that can be worked out into Kifilideen’s Generalized Matrix Progression Sequence.