Mathematics

Mathematical Patterns, Induction, and Mathematical Induction

Mathematical Patterns, Induction, and Mathematical Induction Mathematical Patterns, Induction, and Mathematical Induction An important part of a mathematician’s work is the perception of patterns involving numbers. Occasionally, a mathematician encounters some equations and perceives the presence of a general regularity in them. For example, look at the following simple identities: 4^1-1=3*1, 4^2-1=3*5, 4^3-1=3*21, 4^4-1=3*85, etc. …