eng Ansari Education and Research Society Journal of Ultra Scientist of Physical Sciences April 2026 38 4 47 58 http://dx.doi.org/10.22147/jusps-B/380402 1555 article MANJEET SINGH TEETH 1 GARVITA AGRAWAL 2 IPS Academy, Indore, Madhya Pradesh, India, 452001 School of Mathematics, D.A.V.V. Indore, Madhya Pradesh, 452001 (India) <p>In this paper we extend the Fibonacci recurrence relation to define the sequence {Cn} and derive some properties of this sequence. We alsodefine the four comparison sequence {Pn}, {Qn}, {Rn}, {Sn}. We also obtain some identities with the help of generating matrix.</p> https://ultraphysicalsciences.org/paper/1555/ Fibonacci number Fibonacci sequence