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L4 Principle of Mathematical Induction: Trigonometric inequalities |sinnx| is less than n|sinx|
Principle of Mathematical Induction: If a & b are roots of x^2-(p+1)x+1=0, Use PMI for a^n+b^n
PMI Binomial theorem SE 1: prove n^7/7+n^5/5+2n^3/3-n/105 is an integer for every positive integer n
PMI Binomial theorem SE 2: prove summation m=0 to k : (n-m)(r+m)!/m!=(r+k+1)!/k!(n/(r+1)-k/(r+2))
Binomial theorem: Proof by Induction Lecture 6
An amazing proof: Proving Descartes Rule of Signs: Understanding why it works!
CMI 2018 B1: (a) a beautiful induction problen (b) Multivariable calculus problem
PMI: CMI 2016 B4: If |A+A|=2n-1, prove that the sequence is an arithmetic progression (AP)
CMI 2021 | B6 | Permutation and combination | Principle of mathematical induction