Abstract

It is well-known in the literature that the general term of a sequence can be represented by a linear combination of binomial coefficients. The theorem and its known proofs are not easy for highschool students to understand. In this paper we prove the theorem by a pictorial method and by a very short and easy inductive method to make the problem easy and accessible enough for highschool students.

Keywords

• Pascal triangle;
• Pascal matrix;
• ㄱ-law;
• difference sequence;
• difference matrix

• 파스칼 삼각형;
• 파스칼 행렬;
• ㄱ-법칙;
• 계차수열;
• 계차행렬;