Knowledge in Mathematical induction

Binomial Theorem and Mathematical Induction

In elementary algebra, the binomial theorem (or binomial expansion) describes the algebraic expansion of powers of a binomial. ... The coefficient a in the term of a xb yc is known as the binomial coefficient or (the two have the same value). These coefficients for varying n and b can be arranged to form Pascal's triangle. Mathematical induction. Mathematical induction is a method of mathematical proof typically used to establish that a given statement is true of all natural numbers.