Induction: Inequality Proofs

Proving inequalities with induction requires a good grasp of the 'flexible' nature of inequalities when compared to equations. Make sure that your logic is clear between lines! For more mathematical induction proofs with inequalities, try these: Inequality Proof Example 1, Σ(k = 1 to n) 1/k² ≤ 2 - 1/n:    • Induction Inequality Proof Example 1: Σ(k ...   Inequality Proof Example 2, n² ≥ n:    • Induction Inequality Proof Example 2: n² ≥ n   Inequality Proof Example 3, 5^n + 9 lesser than 6^n:    • Induction Inequality Proof Example 3: 5^n ...   Inequality Proof Example 4, n! greater than n²:    • Induction Inequality Proof Example 4: n! g...   Inequality Proof Example 5, 2^n ≥ n²    • Induction Inequality Proof Example 5: 2^n ...   Inequality Proof Example 6, [2^(2n)]*(n!)^2 ≥ (2n)!    • Induction Inequality Proof Example 6: [2^(...   For videos on other kinds of mathematical induction, see my playlist on this topic:    • Плейлист   I'm Mr. Woo and my channel is all about learning - I love doing it, and I love helping others to do it too. I guess that's why I became a teacher! I hope you get something out of these videos - I upload almost every weekday, so subscribe to find out when there's something new! For categorised playlists: http://www.misterwootube.com Main channel:    / misterwootube   Discussion:   / misterwootube   Worksheets and other resources: http://woo.jamesruse.nsw.edu.au