• DR AJAY KUMAR SAINI

This research introduces a novel mathematical framework—KAS Sequences—as a robust methodology for solving equations, with particular emphasis on Varg Prakriti (quadratic indeterminate) equations. Rooted in historical mathematical principles and enriched with modern computational techniques, the approach aims to unravel the intricate patterns and structures inherent in these equations. The paper outlines the formulation of KAS Sequences, their theoretical underpinnings, and their application to diverse mathematical problems. By integrating historical insights with innovative algorithms, the proposed methodology provides a comprehensive toolkit for addressing both classical and contemporary challenges in equation solving. The findings are expected to contribute to the fields of number theory, algebra, and mathematical problem-solving, offering fresh perspectives for researchers and practitioners alike.

KAS Sequences, Varg Prakriti

"''KAS Sequences: A Methodological Approach to Solving Equations and Analyzing Varg Prakriti Structures''", International Journal of Emerging Technologies and Innovative Research (www.jetir.org), ISSN:2349-5162, Vol.12, Issue 3, page no.f527-f537, March-2025, Available :http://www.jetir.org/papers/JETIR2503591.pdf

"''KAS Sequences: A Methodological Approach to Solving Equations and Analyzing Varg Prakriti Structures''", International Journal of Emerging Technologies and Innovative Research (www.jetir.org | UGC and issn Approved), ISSN:2349-5162, Vol.12, Issue 3, page no. ppf527-f537, March-2025, Available at : http://www.jetir.org/papers/JETIR2503591.pdf