AM-GM-HM inequality
Sequences, series and the binomial theorem · Mathematics
Study notes
Q: For a = 4, b = 16, verify AM >= GM >= HM. When is equality attained? AM = (4+16)/2 = 10. GM = sqrt(64) = 8. HM = 2x4x16/20 = 6.4. 10 >= 8 >= 6.4 verified. Equality only when a = b (e.g., a = b = 5: all means = 5).