The arithmetic mean, geometric mean, and harmonic mean of a,b,c are 8, 5, 3, respectively. What is the value of a2+b2+c2?
This problem is posed by Matt.
Details and Assumptions:
The arithmetic mean, geometric mean, and harmonic mean of n numbers a1,a2,…,an are (respectively)
n∑i=1nan,ni=1∏nan,(∑i=1nan1n).