2025-03-28https://repository.covenantuniversity.edu.ng/handle/123456789/35809As the power of the Fibonacci numbers increases from 1 to the power of 5, the number of terms obtained from the digit sum decreases when compared with their respective positive integers. Digit sum may not be applicable to Fibonacci identities because of the heterogeneity of algebraic operations. Different recursive patterns were obtained for the different powers of the Fibonacci numbers considered. Prediction of the iterative digit sum of the powers of Fibonacci can be obtained by simple computation as illustrated in the paper. Iterative digit sum have added to the scientific literature as one of the various means of dividing integer sequences into distinct classesapplication/pdfQA MathematicsArticle