Bibliographic Details
| Title: |
An Elementary Difference-Matrix Evaluation of the Series ... |
| Authors: |
Imaninezhad, Mahdi1 |
| Source: |
Ohio Journal of School Mathematics. Spring2026, Vol. 102, p75-80. 6p. |
| Subject Terms: |
Infinite series (Mathematics), Finite differences, Difference operators, Combinatorics, Arithmetic, Multiplication |
| Abstract: |
We present a fully elementary method for evaluating the infinite series ... where k is a fixed natural number. The method relies only on repeated scaling, term-by-term subtraction, and the systematic use of finite differences. No tools from calculus, generating functions, or special functions are required. Starting from explicit computations for k = 1, 2, 3, 4, we show how a stable pattern emerges and how this pattern can be described and proved using a difference matrix. Finally, we present an interesting combinatorial identity. [ABSTRACT FROM AUTHOR] |
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| Database: |
Education Research Complete |
